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63260000056 = 23114347355697
BaseRepresentation
bin111010111010100101…
…101111111100111000
320001021200211222010001
4322322211233330320
52014024030000211
645021121202344
74366433062021
oct727245577470
9201250758101
1063260000056
1124912691390
12103157903b4
135c71c759c6
1430c1819c48
1519a3a53ac1
hexeba96ff38

63260000056 has 64 divisors (see below), whose sum is σ = 135222151680. Its totient is φ = 27488186880.

The previous prime is 63260000033. The next prime is 63260000081. The reversal of 63260000056 is 65000006236.

63260000056 is a nontrivial binomial coefficient, being equal to C(355697, 2).

It is a junction number, because it is equal to n+sod(n) for n = 63259999979 and 63260000033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 355696.

It is an arithmetic number, because the mean of its divisors is an integer number (2112846120).

Almost surely, 263260000056 is an apocalyptic number.

63260000056 is the 355696-th triangular number.

63260000056 is the 118566-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63260000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67611075840).

63260000056 is an abundant number, since it is smaller than the sum of its proper divisors (71962151624).

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

63260000056 is a wasteful number, since it uses less digits than its factorization.

63260000056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355804 (or 355800 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 63260000056 in words is "sixty-three billion, two hundred sixty million, fifty-six", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 43 44 47 86 88 94 172 188 344 376 473 517 946 1034 1892 2021 2068 3784 4042 4136 8084 16168 22231 44462 88924 177848 355697 711394 1422788 2845576 3912667 7825334 15294971 15650668 16717759 30589942 31301336 33435518 61179884 66871036 122359768 133742072 168244681 183895349 336489362 367790698 672978724 718863637 735581396 1345957448 1437727274 1471162792 2875454548 5750909096 7907500007 15815000014 31630000028 63260000056