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10061105056 = 253137327191
BaseRepresentation
bin10010101111011000…
…00100011110100000
3221222011202002111121
421113230010132200
5131101120330211
64342204222024
7504215660542
oct112754043640
927864662447
1010061105056
1142a3260162
121b4953a914
13c44563402
146b630b692
153dd42d271
hex257b047a0

10061105056 has 48 divisors (see below), whose sum is σ = 20502332928. Its totient is φ = 4855046400.

The previous prime is 10061105029. The next prime is 10061105081. The reversal of 10061105056 is 65050116001.

It is a self number, because there is not a number n which added to its sum of digits gives 10061105056.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356421 + ... + 383611.

It is an arithmetic number, because the mean of its divisors is an integer number (427131936).

Almost surely, 210061105056 is an apocalyptic number.

10061105056 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 10061105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251166464).

10061105056 is an abundant number, since it is smaller than the sum of its proper divisors (10441227872).

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

10061105056 is a wasteful number, since it uses less digits than its factorization.

10061105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27605 (or 27597 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10061105056 in words is "ten billion, sixty-one million, one hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 373 496 746 992 1492 2984 5968 11563 11936 23126 27191 46252 54382 92504 108764 185008 217528 370016 435056 842921 870112 1685842 3371684 6743368 10142243 13486736 20284486 26973472 40568972 81137944 162275888 314409533 324551776 628819066 1257638132 2515276264 5030552528 10061105056