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10056015150 = 23522310727241
BaseRepresentation
bin10010101110110001…
…01001110100101110
3221221211011111110120
421113120221310232
5131043314441100
64341503145410
7504124501266
oct112730516456
927854144416
1010056015150
1142a03a4025
121b478a5266
13c434a072c
146b57847a6
153dcc750a0
hex257629d2e

10056015150 has 96 divisors (see below), whose sum is σ = 26267390208. Its totient is φ = 2540947200.

The previous prime is 10056015139. The next prime is 10056015163. The reversal of 10056015150 is 5151065001.

It is a super-2 number, since 2×100560151502 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10056015150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355530 + ... + 382770.

It is an arithmetic number, because the mean of its divisors is an integer number (273618648).

Almost surely, 210056015150 is an apocalyptic number.

10056015150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056015150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13133695104).

10056015150 is an abundant number, since it is smaller than the sum of its proper divisors (16211375058).

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

10056015150 is a wasteful number, since it uses less digits than its factorization.

10056015150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27386 (or 27381 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 10056015150 in words is "ten billion, fifty-six million, fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 107 115 138 150 214 230 321 345 535 575 642 690 1070 1150 1605 1725 2461 2675 3210 3450 4922 5350 7383 8025 12305 14766 16050 24610 27241 36915 54482 61525 73830 81723 123050 136205 163446 184575 272410 369150 408615 626543 681025 817230 1253086 1362050 1879629 2043075 2914787 3132715 3759258 4086150 5829574 6265430 8744361 9398145 14573935 15663575 17488722 18796290 29147870 31327150 43721805 46990725 67040101 72869675 87443610 93981450 134080202 145739350 201120303 218609025 335200505 402240606 437218050 670401010 1005601515 1676002525 2011203030 3352005050 5028007575 10056015150