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56697248213400 = 233522916192012639
BaseRepresentation
bin11001110010000110110110…
…10101101110100110011000
321102202012111201012222012210
430321003123111232212120
524412411431020312100
6320330204541235120
714641145444104344
oct1471033325564630
9242665451188183
1056697248213400
111707a193582133
126438381862aa0
1325836b20a38c2
141000239068624
15684c5b2dac50
hex3390db56e998

56697248213400 has 192 divisors, whose sum is σ = 181934605440000. Its totient is φ = 14588888312320.

The previous prime is 56697248213257. The next prime is 56697248213483. The reversal of 56697248213400 is 431284279665.

It is a congruent number.

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, 27164281 + ... + 29176919.

It is an arithmetic number, because the mean of its divisors is an integer number (947576070000).

It is a 1-persistent number, because it is pandigital, but 2⋅56697248213400 = 113394496426800 is not.

Almost surely, 256697248213400 is an apocalyptic number.

56697248213400 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 56697248213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90967302720000).

56697248213400 is an abundant number, since it is smaller than the sum of its proper divisors (125237357226600).

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

56697248213400 is a wasteful number, since it uses less digits than its factorization.

56697248213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014306 (or 2014297 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 56697248213400 in words is "fifty-six trillion, six hundred ninety-seven billion, two hundred forty-eight million, two hundred thirteen thousand, four hundred".