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51716920320 = 21032513229229
BaseRepresentation
bin110000001010100100…
…011001010000000000
311221111020111202112100
4300022210121100000
51321404012422240
635431453030400
73510410366232
oct601244312000
9157436452470
1051716920320
111aa2994276a
12a033a85400
134b52691a00
14270877c252
15152a48be30
hexc0a919400

51716920320 has 792 divisors, whose sum is σ = 201610258200. Its totient is φ = 12237668352.

The previous prime is 51716920309. The next prime is 51716920337. The reversal of 51716920320 is 2302961715.

It can be written as a sum of positive squares in 12 ways, for example, as 15623000064 + 36093920256 = 124992^2 + 189984^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225837966 + ... + 225838194.

Almost surely, 251716920320 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 51716920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100805129100).

51716920320 is an abundant number, since it is smaller than the sum of its proper divisors (149893337880).

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

51716920320 is a wasteful number, since it uses less digits than its factorization.

51716920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 51716920320 in words is "fifty-one billion, seven hundred sixteen million, nine hundred twenty thousand, three hundred twenty".