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51357892320 = 25335723411801
BaseRepresentation
bin101111110101001010…
…110011111011100000
311220120012221020201000
4233311022303323200
51320140110023240
635332105512000
73465460611330
oct576512637340
9156505836630
1051357892320
111a865211709
129b537a2600
134ac61974c7
1426b2c010c0
151508bbd430
hexbf52b3ee0

51357892320 has 768 divisors, whose sum is σ = 219713679360. Its totient is φ = 10948608000.

The previous prime is 51357892319. The next prime is 51357892363. The reversal of 51357892320 is 2329875315.

51357892320 is a `hidden beast` number, since 51 + 3 + 578 + 9 + 2 + 3 + 20 = 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 127 ways as a sum of consecutive naturals, for example, 28515420 + ... + 28517220.

It is an arithmetic number, because the mean of its divisors is an integer number (286085520).

Almost surely, 251357892320 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 51357892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109856839680).

51357892320 is an abundant number, since it is smaller than the sum of its proper divisors (168355787040).

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

51357892320 is a wasteful number, since it uses less digits than its factorization.

51357892320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 51357892320 in words is "fifty-one billion, three hundred fifty-seven million, eight hundred ninety-two thousand, three hundred twenty".