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10507256056 = 2311433318389
BaseRepresentation
bin10011100100100100…
…00000000011111000
31000010021020220121201
421302102000003320
5133004324143211
64454342543544
7521244126403
oct116222000370
930107226551
1010507256056
114502087aa0
122052a37bb4
13cb5b1319b
14719686d3a
154176ab0c1
hex2724800f8

10507256056 has 64 divisors (see below), whose sum is σ = 22061001600. Its totient is φ = 4650307200.

The previous prime is 10507256047. The next prime is 10507256059. The reversal of 10507256056 is 65065270501.

It is a super-2 number, since 2×105072560562 (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 (10507256059) 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, 1248310 + ... + 1256698.

It is an arithmetic number, because the mean of its divisors is an integer number (344703150).

Almost surely, 210507256056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10507256056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030500800).

10507256056 is an abundant number, since it is smaller than the sum of its proper divisors (11553745544).

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

10507256056 is a wasteful number, since it uses less digits than its factorization.

10507256056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The spelling of 10507256056 in words is "ten billion, five hundred seven million, two hundred fifty-six thousand, fifty-six".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 331 344 473 662 946 1324 1892 2648 3641 3784 7282 8389 14233 14564 16778 28466 29128 33556 56932 67112 92279 113864 156563 184558 313126 360727 369116 626252 721454 738232 1252504 1442908 2776759 2885816 3967997 5553518 7935994 11107036 15871988 22214072 30544349 31743976 61088698 119400637 122177396 238801274 244354792 477602548 955205096 1313407007 2626814014 5253628028 10507256056