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56998736256 = 2737112296043
BaseRepresentation
bin110101000101011000…
…111011000110000000
312110010100011210212210
4311011120323012000
51413213134030011
642103532422120
74055324156430
oct650530730600
9173110153783
1056998736256
112219a334200
12b068917940
1354b4a22697
142a8a03c2c0
15173900e6a6
hexd4563b180

56998736256 has 384 divisors, whose sum is σ = 196782969600. Its totient is φ = 14291988480.

The previous prime is 56998736237. The next prime is 56998736323. The reversal of 56998736256 is 65263789965.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 9429171 + ... + 9435213.

It is an arithmetic number, because the mean of its divisors is an integer number (512455650).

Almost surely, 256998736256 is an apocalyptic number.

56998736256 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 56998736256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98391484800).

56998736256 is an abundant number, since it is smaller than the sum of its proper divisors (139784233344).

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

56998736256 is a wasteful number, since it uses less digits than its factorization.

56998736256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6095 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 66.

The spelling of 56998736256 in words is "fifty-six billion, nine hundred ninety-eight million, seven hundred thirty-six thousand, two hundred fifty-six".