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30113464216050 = 232521013132116813
BaseRepresentation
bin1101101100011010101100…
…10101100110100111110010
310221121211010002122010220100
412312031112111212213302
512421334333314403200
6144013533503053230
76225424500331005
oct666152625464762
9127554102563810
1030113464216050
119660059547a36
1234642362a1216
1313a58c2556c27
147616dc69553c
153734c10b0d00
hex1b63565669f2

30113464216050 has 144 divisors (see below), whose sum is σ = 81966958419528. Its totient is φ = 7925344128000.

The previous prime is 30113464215937. The next prime is 30113464216093. The reversal of 30113464216050 is 5061246431103.

30113464216050 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 3 + 4 + 6 + 42 + 1 + 605 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2683702516401 + 27429761699649 = 1638201^2 + 5237343^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30113464215996 and 30113464216014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13167444 + ... + 15284256.

Almost surely, 230113464216050 is an apocalyptic number.

30113464216050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30113464216050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40983479209764).

30113464216050 is an abundant number, since it is smaller than the sum of its proper divisors (51853494203478).

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

30113464216050 is a wasteful number, since it uses less digits than its factorization.

30113464216050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117245 (or 2117237 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30113464216050 in words is "thirty trillion, one hundred thirteen billion, four hundred sixty-four million, two hundred sixteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 225 303 313 450 505 606 626 909 939 1010 1515 1565 1818 1878 2525 2817 3030 3130 4545 4695 5050 5634 7575 7825 9090 9390 14085 15150 15650 22725 23475 28170 31613 45450 46950 63226 70425 94839 140850 158065 189678 284517 316130 474195 569034 790325 948390 1422585 1580650 2116813 2370975 2845170 4233626 4741950 6350439 7112925 10584065 12700878 14225850 19051317 21168130 31752195 38102634 52920325 63504390 95256585 105840650 158760975 190513170 213798113 317521950 427596226 476282925 641394339 662562469 952565850 1068990565 1282788678 1325124938 1924183017 1987687407 2137981130 3206971695 3312812345 3848366034 3975374814 5344952825 5963062221 6413943390 6625624690 9620915085 9938437035 10689905650 11926124442 16034858475 16564061725 19241830170 19876874070 29815311105 32069716950 33128123450 48104575425 49692185175 59630622210 66918809369 96209150850 99384370350 133837618738 149076555525 200756428107 298153111050 334594046845 401512856214 602269284321 669188093690 1003782140535 1204538568642 1672970234225 2007564281070 3011346421605 3345940468450 5018910702675 6022692843210 10037821405350 15056732108025 30113464216050