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56674800000 = 273255713173
BaseRepresentation
bin110100110010000101…
…001101000110000000
312102021202122010212200
4310302011031012000
51412032222100000
642011441353200
74044311565030
oct646205150600
9172252563780
1056674800000
11220434a1095
12ab98338800
135462893920
142a58dd78c0
15171a873500
hexd3214d180

56674800000 has 1152 divisors, whose sum is σ = 252338224320. Its totient is φ = 11888640000.

The previous prime is 56674799989. The next prime is 56674800019. The reversal of 56674800000 is 847665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 327599914 + ... + 327600086.

Almost surely, 256674800000 is an apocalyptic number.

56674800000 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 56674800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126169112160).

56674800000 is an abundant number, since it is smaller than the sum of its proper divisors (195663424320).

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

56674800000 is a wasteful number, since it uses less digits than its factorization.

56674800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 56674800000 in words is "fifty-six billion, six hundred seventy-four million, eight hundred thousand".