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10500007856 = 241332811063
BaseRepresentation
bin10011100011101100…
…10110011110110000
31000002202121122221212
421301312112132300
5133001000222411
64453523335252
7521125410542
oct116166263660
930082548855
1010500007856
1144a8a87348
122050521528
13cb4476000
1471871b692
15416c2868b
hex271d967b0

10500007856 has 80 divisors (see below), whose sum is σ = 22137541440. Its totient is φ = 4824368640.

The previous prime is 10500007853. The next prime is 10500007883. The reversal of 10500007856 is 65870000501.

It is a super-2 number, since 2×105000078562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500007853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9877181 + ... + 9878243.

It is an arithmetic number, because the mean of its divisors is an integer number (276719268).

Almost surely, 210500007856 is an apocalyptic number.

10500007856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500007856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068770720).

10500007856 is an abundant number, since it is smaller than the sum of its proper divisors (11637533584).

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

10500007856 is a wasteful number, since it uses less digits than its factorization.

10500007856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 10500007856 in words is "ten billion, five hundred million, seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 281 338 562 676 1063 1124 1352 2126 2197 2248 2704 3653 4252 4394 4496 7306 8504 8788 13819 14612 17008 17576 27638 29224 35152 47489 55276 58448 94978 110552 179647 189956 221104 298703 359294 379912 597406 617357 718588 759824 1194812 1234714 1437176 2335411 2389624 2469428 2874352 3883139 4670822 4779248 4938856 7766278 9341644 9877712 15532556 18683288 31065112 37366576 50480807 62130224 100961614 201923228 403846456 656250491 807692912 1312500982 2625001964 5250003928 10500007856