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51063696000 = 27345331241
BaseRepresentation
bin101111100011101000…
…100010101010000000
311212210201100112020000
4233203220202222000
51314034301233000
635243000120000
73455256153162
oct574350425200
9155721315200
1051063696000
111a724141659
129a91166000
134a7a24c245
142685adc932
1514dce59000
hexbe3a22a80

51063696000 has 960 divisors, whose sum is σ = 200746826280. Its totient is φ = 12856320000.

The previous prime is 51063695989. The next prime is 51063696001. The reversal of 51063696000 is 69636015.

51063696000 is a `hidden beast` number, since 5 + 10 + 6 + 36 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4189713984 + 46873982016 = 64728^2 + 216504^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51063696001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1245455980 + ... + 1245456020.

Almost surely, 251063696000 is an apocalyptic number.

51063696000 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 51063696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100373413140).

51063696000 is an abundant number, since it is smaller than the sum of its proper divisors (149683130280).

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

51063696000 is an equidigital number, since it uses as much as digits as its factorization.

51063696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 51063696000 in words is "fifty-one billion, sixty-three million, six hundred ninety-six thousand".