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56652517120 = 285227194977
BaseRepresentation
bin110100110000110000…
…001100111100000000
312102020012201001111211
4310300300030330000
51412011021021440
642005324015504
74043621310253
oct646060147400
9172205631454
1056652517120
1122031961691
12ab90991594
13545b0913a4
142a5607709a
151718920eea
hexd30c0cf00

56652517120 has 72 divisors (see below), whose sum is σ = 136298980944. Its totient is φ = 22561062912.

The previous prime is 56652517109. The next prime is 56652517121. The reversal of 56652517120 is 2171525665.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56652517121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193072 + ... + 388048.

It is an arithmetic number, because the mean of its divisors is an integer number (1893041402).

Almost surely, 256652517120 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 56652517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68149490472).

56652517120 is an abundant number, since it is smaller than the sum of its proper divisors (79646463824).

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

56652517120 is a wasteful number, since it uses less digits than its factorization.

56652517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195225 (or 195211 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 56652517120 in words is "fifty-six billion, six hundred fifty-two million, five hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 256 320 454 640 908 1135 1280 1816 2270 3632 4540 7264 9080 14528 18160 29056 36320 58112 72640 145280 194977 290560 389954 779908 974885 1559816 1949770 3119632 3899540 6239264 7799080 12478528 15598160 24957056 31196320 44259779 49914112 62392640 88519558 124785280 177039116 221298895 249570560 354078232 442597790 708156464 885195580 1416312928 1770391160 2832625856 3540782320 5665251712 7081564640 11330503424 14163129280 28326258560 56652517120