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553522631116050 = 2325216752314083309
BaseRepresentation
bin111110111011011010000011…
…1110011011000010100010010
32200120212020122212122201012100
41331312310013303120110102
51040022403322031203200
65241124441501141230
7224406455543134611
oct17566640763302422
92616766585581170
10553522631116050
111504076a1a61522
12520b848925a816
131a9b1c6358814b
149a988d1687878
1543ed5d962ad00
hex1f76d07cd8512

553522631116050 has 144 divisors (see below), whose sum is σ = 1498896372617280. Its totient is φ = 146441616577920.

The previous prime is 553522631116031. The next prime is 553522631116051. The reversal of 553522631116050 is 50611136225355.

553522631116050 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 2 + 2 + 6 + 31 + 1 + 1 + 605 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 553522631115987 and 553522631116005.

It is not an unprimeable number, because it can be changed into a prime (553522631116051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32261796 + ... + 46345104.

It is an arithmetic number, because the mean of its divisors is an integer number (10409002587620).

Almost surely, 2553522631116050 is an apocalyptic number.

553522631116050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 553522631116050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749448186308640).

553522631116050 is an abundant number, since it is smaller than the sum of its proper divisors (945373741501230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

553522631116050 is a wasteful number, since it uses less digits than its factorization.

553522631116050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14084017 (or 14084009 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 553522631116050 in words is "five hundred fifty-three trillion, five hundred twenty-two billion, six hundred thirty-one million, one hundred sixteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 167 225 334 450 501 523 835 1002 1046 1503 1569 1670 2505 2615 3006 3138 4175 4707 5010 5230 7515 7845 8350 9414 12525 13075 15030 15690 23535 25050 26150 37575 39225 47070 75150 78450 87341 117675 174682 235350 262023 436705 524046 786069 873410 1310115 1572138 2183525 2620230 3930345 4367050 6550575 7860690 13101150 14083309 19651725 28166618 39303450 42249927 70416545 84499854 126749781 140833090 211249635 253499562 352082725 422499270 633748905 704165450 1056248175 1267497810 2112496350 2351912603 3168744525 4703825206 6337489050 7055737809 7365570607 11759563015 14111475618 14731141214 21167213427 22096711821 23519126030 35278689045 36827853035 42334426854 44193423642 58797815075 66290135463 70557378090 73655706070 105836067135 110483559105 117595630150 132580270926 176393445225 184139265175 211672134270 220967118210 331450677315 352786890450 368278530350 529180335675 552417795525 662901354630 1058360671350 1104835591050 1230050291369 1657253386575 2460100582738 3314506773150 3690150874107 6150251456845 7380301748214 11070452622321 12300502913690 18450754370535 22140905244642 30751257284225 36901508741070 55352263111605 61502514568450 92253771852675 110704526223210 184507543705350 276761315558025 553522631116050