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551000110050 = 2325213193488021
BaseRepresentation
bin10000000010010100010…
…10100111001111100010
31221200020010220201221100
420001022022213033202
533011422012010200
61101043112335230
754544203442005
oct10011212471742
91850203821840
10551000110050
111a2750219a85
128a9549a4516
133cc61165aa0
141c9506cd53c
15e4ed1cbd00
hex804a2a73e2

551000110050 has 144 divisors (see below), whose sum is σ = 1602490512168. Its totient is φ = 134927769600.

The previous prime is 551000109977. The next prime is 551000110051. The reversal of 551000110050 is 50011000155.

551000110050 is a `hidden beast` number, since 5 + 510 + 0 + 0 + 1 + 100 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1212201 + 550998897849 = 1101^2 + 742293^2 .

It is a super-2 number, since 2×5510001100502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (551000110051) 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, 885040 + ... + 1373060.

Almost surely, 2551000110050 is an apocalyptic number.

551000110050 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 551000110050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801245256084).

551000110050 is an abundant number, since it is smaller than the sum of its proper divisors (1051490402118).

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

551000110050 is a wasteful number, since it uses less digits than its factorization.

551000110050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488245 (or 488237 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 551000110050 in words is "five hundred fifty-one billion, one hundred ten thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 193 195 225 234 325 386 390 450 579 585 650 965 975 1158 1170 1737 1930 1950 2509 2895 2925 3474 4825 5018 5790 5850 7527 8685 9650 12545 14475 15054 17370 22581 25090 28950 37635 43425 45162 62725 75270 86850 112905 125450 188175 225810 376350 488021 564525 976042 1129050 1464063 2440105 2928126 4392189 4880210 6344273 7320315 8784378 12200525 12688546 14640630 19032819 21960945 24401050 31721365 36601575 38065638 43921890 57098457 63442730 73203150 94188053 95164095 109804725 114196914 158606825 188376106 190328190 219609450 282564159 285492285 317213650 470940265 475820475 565128318 570984570 847692477 941880530 951640950 1224444689 1412820795 1427461425 1695384954 2354701325 2448889378 2825641590 2854922850 3673334067 4238462385 4709402650 6122223445 7064103975 7346668134 8476924770 11020002201 12244446890 14128207950 18366670335 21192311925 22040004402 30611117225 36733340670 42384623850 55100011005 61222234450 91833351675 110200022010 183666703350 275500055025 551000110050