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57137056494336 = 28337133173137293
BaseRepresentation
bin11001111110111010000011…
…11101001011001100000000
321111022020201201002112121000
430333131001331023030000
524442113142430304321
6321304222411132000
715015005344601430
oct1477350175131400
9244266651075530
1057137056494336
1117229764916165
1264a9664744000
1325b6002b49460
14101763c1702c0
156913ec94a826
hex33f741f4b300

57137056494336 has 2304 divisors, whose sum is σ = 219941422202880. Its totient is φ = 14229527592960.

The previous prime is 57137056494307. The next prime is 57137056494347. The reversal of 57137056494336 is 63349465073175.

57137056494336 is a `hidden beast` number, since 5 + 7 + 1 + 37 + 0 + 564 + 9 + 4 + 3 + 36 = 666.

57137056494336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 195007018606 + ... + 195007018898.

It is an arithmetic number, because the mean of its divisors is an integer number (95460686720).

Almost surely, 257137056494336 is an apocalyptic number.

57137056494336 is a gapful number since it is divisible by the number (56) 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 57137056494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109970711101440).

57137056494336 is an abundant number, since it is smaller than the sum of its proper divisors (162804365708544).

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

57137056494336 is a wasteful number, since it uses less digits than its factorization.

57137056494336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 57137056494336 in words is "fifty-seven trillion, one hundred thirty-seven billion, fifty-six million, four hundred ninety-four thousand, three hundred thirty-six".