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56192921400 = 23352711532433
BaseRepresentation
bin110100010101010110…
…111110111100111000
312101001011220011201010
4310111112332330320
51410040341441100
641451545153520
74026340644120
oct642526767470
9171034804633
1056192921400
1121916491610
12aa82a8b8a0
1353b6ab4b65
142a10ddbc80
1516dd3d9750
hexd155bef38

56192921400 has 576 divisors, whose sum is σ = 221868299520. Its totient is φ = 11429683200.

The previous prime is 56192921381. The next prime is 56192921443. The reversal of 56192921400 is 412929165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129775584 + ... + 129776016.

It is an arithmetic number, because the mean of its divisors is an integer number (385188020).

Almost surely, 256192921400 is an apocalyptic number.

56192921400 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 56192921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110934149760).

56192921400 is an abundant number, since it is smaller than the sum of its proper divisors (165675378120).

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

56192921400 is a wasteful number, since it uses less digits than its factorization.

56192921400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 56192921400 in words is "fifty-six billion, one hundred ninety-two million, nine hundred twenty-one thousand, four hundred".