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51594420960 = 253651931751
BaseRepresentation
bin110000000011010001…
…000110001011100000
311221011201000011000000
4300003101012023200
51321131132432320
635411355300000
73504362225235
oct600321061340
9157151004000
1051594420960
111a976784125
129bbaa4a600
134b331a1294
1426d63b178c
15151e840c90
hexc034462e0

51594420960 has 672 divisors, whose sum is σ = 198842757120. Its totient is φ = 12597120000.

The previous prime is 51594420923. The next prime is 51594420989. The reversal of 51594420960 is 6902449515.

51594420960 is a `hidden beast` number, since 51 + 5 + 94 + 420 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68700585 + ... + 68701335.

It is an arithmetic number, because the mean of its divisors is an integer number (295896960).

Almost surely, 251594420960 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 51594420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99421378560).

51594420960 is an abundant number, since it is smaller than the sum of its proper divisors (147248336160).

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

51594420960 is a wasteful number, since it uses less digits than its factorization.

51594420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 51594420960 in words is "fifty-one billion, five hundred ninety-four million, four hundred twenty thousand, nine hundred sixty".