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56988653568 = 2113711247233
BaseRepresentation
bin110101000100110010…
…011101100000000000
312110002122012120000220
4311010302131200000
51413203043403233
642102532343040
74055142364020
oct650462354000
9173078176026
1056988653568
1122194677a00
12b065474a80
1354b29022b2
142a88975a80
1517381bbeb3
hexd44c9d800

56988653568 has 576 divisors, whose sum is σ = 195754890240. Its totient is φ = 14425128960.

The previous prime is 56988653567. The next prime is 56988653587. The reversal of 56988653568 is 86535688965.

It is a super-3 number, since 3×569886535683 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56988653567) 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 47 ways as a sum of consecutive naturals, for example, 244586380 + ... + 244586612.

It is an arithmetic number, because the mean of its divisors is an integer number (339852240).

Almost surely, 256988653568 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 56988653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97877445120).

56988653568 is an abundant number, since it is smaller than the sum of its proper divisors (138766236672).

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

56988653568 is a wasteful number, since it uses less digits than its factorization.

56988653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

The product of its digits is 373248000, while the sum is 69.

The spelling of 56988653568 in words is "fifty-six billion, nine hundred eighty-eight million, six hundred fifty-three thousand, five hundred sixty-eight".