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56658312448 = 282948715671
BaseRepresentation
bin110100110001000110…
…010011110100000000
312102020121121111012121
4310301012103310000
51412014011444243
642010052134024
74044021465253
oct646106236400
9172217544177
1056658312448
112203515a811
12ab92907314
13545c34018a
142a56b4509a
1517191b81ed
hexd31193d00

56658312448 has 72 divisors (see below), whose sum is σ = 117242858880. Its totient is φ = 27294382080.

The previous prime is 56658312427. The next prime is 56658312461. The reversal of 56658312448 is 84421385665.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56658312395 and 56658312404.

It is a congruent number.

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, 3607653 + ... + 3623323.

It is an arithmetic number, because the mean of its divisors is an integer number (1628373040).

Almost surely, 256658312448 is an apocalyptic number.

56658312448 is a gapful number since it is divisible by the number (58) 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 56658312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58621429440).

56658312448 is an abundant number, since it is smaller than the sum of its proper divisors (60584546432).

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

56658312448 is a wasteful number, since it uses less digits than its factorization.

56658312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16203 (or 16189 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 52.

The spelling of 56658312448 in words is "fifty-six billion, six hundred fifty-eight million, three hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 487 928 974 1856 1948 3712 3896 7424 7792 14123 15584 15671 28246 31168 31342 56492 62336 62684 112984 124672 125368 225968 250736 451936 454459 501472 903872 908918 1002944 1807744 1817836 2005888 3615488 3635672 4011776 7271344 7631777 14542688 15263554 29085376 30527108 58170752 61054216 116341504 122108432 221321533 244216864 442643066 488433728 885286132 976867456 1770572264 1953734912 3541144528 7082289056 14164578112 28329156224 56658312448