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10055541856 = 2523191233307
BaseRepresentation
bin10010101110101101…
…10110010001100000
3221221210021110020011
421113112312101200
5131043204314411
64341445054304
7504120460363
oct112726662140
927853243204
1010055541856
1142a0100478
121b476b7394
13c43366189
146b56a00da
153dcbcec21
hex2575b6460

10055541856 has 96 divisors (see below), whose sum is σ = 20922789888. Its totient is φ = 4747944960.

The previous prime is 10055541851. The next prime is 10055541857. The reversal of 10055541856 is 65814555001.

It is a super-2 number, since 2×100555418562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055541851) 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, 32754055 + ... + 32754361.

It is an arithmetic number, because the mean of its divisors is an integer number (217945728).

Almost surely, 210055541856 is an apocalyptic number.

10055541856 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 10055541856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10461394944).

10055541856 is an abundant number, since it is smaller than the sum of its proper divisors (10867248032).

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

10055541856 is a wasteful number, since it uses less digits than its factorization.

10055541856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 40.

The spelling of 10055541856 in words is "ten billion, fifty-five million, five hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 191 233 307 368 382 466 614 736 764 932 1228 1528 1864 2456 3056 3728 4393 4912 5359 6112 7061 7456 8786 9824 10718 14122 17572 21436 28244 35144 42872 44503 56488 58637 70288 71531 85744 89006 112976 117274 140576 143062 171488 178012 225952 234548 286124 356024 469096 572248 712048 938192 1023569 1144496 1348651 1424096 1645213 1876384 2047138 2288992 2697302 3290426 4094276 5394604 6580852 8188552 10789208 13161704 13662421 16377104 21578416 26323408 27324842 32754208 43156832 52646816 54649684 109299368 218598736 314235683 437197472 628471366 1256942732 2513885464 5027770928 10055541856