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56994770951136 = 25324743960115959
BaseRepresentation
bin11001111010110001000010…
…00100111001101111100000
321110210122110120202000222200
430331120201010321233200
524432300242330414021
6321115011502133200
715001510361462034
oct1475304104715740
9243718416660880
1056994770951136
111718438a395647
126485b75581200
1325a5778904645
1410107c11981c4
1568c871261126
hex33d621139be0

56994770951136 has 288 divisors, whose sum is σ = 166190882457600. Its totient is φ = 18519654758400.

The previous prime is 56994770951093. The next prime is 56994770951159. The reversal of 56994770951136 is 63115907749965.

It is a happy number.

56994770951136 is a `hidden beast` number, since 5 + 6 + 9 + 9 + 4 + 7 + 70 + 9 + 511 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3571316725 + ... + 3571332683.

It is an arithmetic number, because the mean of its divisors is an integer number (577051675200).

Almost surely, 256994770951136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56994770951136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83095441228800).

56994770951136 is an abundant number, since it is smaller than the sum of its proper divisors (109196111506464).

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

56994770951136 is a wasteful number, since it uses less digits than its factorization.

56994770951136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17062 (or 17051 counting only the distinct ones).

The product of its (nonzero) digits is 385786800, while the sum is 72.

The spelling of 56994770951136 in words is "fifty-six trillion, nine hundred ninety-four billion, seven hundred seventy million, nine hundred fifty-one thousand, one hundred thirty-six".