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56392089600 = 216352711149
BaseRepresentation
bin110100100001001110…
…110000000000000000
312101120001122222010010
4310201032300000000
51410442333331400
641523422104520
74034306565330
oct644116600000
9171501588103
1056392089600
1121a08956630
12ab1971b140
13541913a672
142a2d6450c0
151700b2c450
hexd213b0000

56392089600 has 816 divisors, whose sum is σ = 234040377600. Its totient is φ = 11639193600.

The previous prime is 56392089541. The next prime is 56392089619. The reversal of 56392089600 is 698029365.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56392089600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378470326 + ... + 378470474.

Almost surely, 256392089600 is an apocalyptic number.

56392089600 is a gapful number since it is divisible by the number (50) 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 56392089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117020188800).

56392089600 is an abundant number, since it is smaller than the sum of its proper divisors (177648288000).

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

56392089600 is a wasteful number, since it uses less digits than its factorization.

56392089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 56392089600 in words is "fifty-six billion, three hundred ninety-two million, eighty-nine thousand, six hundred".