Search a number
-
+
10061522656 = 251961726821
BaseRepresentation
bin10010101111011011…
…01010011011100000
3221222012112022100021
421113231222123200
5131101222211111
64342221203224
7504222350203
oct112755523340
927865468307
1010061522656
1142a3515989
121b49700514
13c4467b503
146b63b993a
153dd4b1d71
hex257b6a6e0

10061522656 has 48 divisors (see below), whose sum is σ = 20885754960. Its totient is φ = 4758082560.

The previous prime is 10061522633. The next prime is 10061522659. The reversal of 10061522656 is 65622516001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061522659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361726 + ... + 388546.

It is an arithmetic number, because the mean of its divisors is an integer number (435119895).

Almost surely, 210061522656 is an apocalyptic number.

10061522656 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 10061522656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442877480).

10061522656 is an abundant number, since it is smaller than the sum of its proper divisors (10824232304).

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

10061522656 is a wasteful number, since it uses less digits than its factorization.

10061522656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27467 (or 27459 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 10061522656 in words is "ten billion, sixty-one million, five hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 617 1234 2468 4936 9872 11723 19744 23446 26821 46892 53642 93784 107284 187568 214568 375136 429136 509599 858272 1019198 2038396 4076792 8153584 16307168 16548557 33097114 66194228 132388456 264776912 314422583 529553824 628845166 1257690332 2515380664 5030761328 10061522656