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57135081434400 = 253352171321117787
BaseRepresentation
bin11001111110110110011000…
…01110111010110100100000
321111022001122001200002201000
430333123030032322310200
524442100121321400100
6321303254414512000
715014605403062254
oct1477331416726440
9244261561602630
1057135081434400
1117228940a63422
1264a91b3205600
1325b5a798c4c38
1410174d1b28264
15691334362900
hex33f6cc3bad20

57135081434400 has 576 divisors, whose sum is σ = 218961239333760. Its totient is φ = 14328808243200.

The previous prime is 57135081434399. The next prime is 57135081434413. The reversal of 57135081434400 is 443418053175.

57135081434400 is a `hidden beast` number, since 5 + 7 + 13 + 50 + 8 + 143 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485012307 + ... + 485130093.

It is an arithmetic number, because the mean of its divisors is an integer number (380141040510).

Almost surely, 257135081434400 is an apocalyptic number.

57135081434400 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 57135081434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109480619666880).

57135081434400 is an abundant number, since it is smaller than the sum of its proper divisors (161826157899360).

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

57135081434400 is a wasteful number, since it uses less digits than its factorization.

57135081434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119154 (or 119135 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 57135081434400 its reverse (443418053175), we get a palindrome (57578499487575).

The spelling of 57135081434400 in words is "fifty-seven trillion, one hundred thirty-five billion, eighty-one million, four hundred thirty-four thousand, four hundred".