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51807615104 = 27760795257
BaseRepresentation
bin110000001111111110…
…010111100010000000
311221201120011112101102
4300033332113202000
51322100222140404
635444452553532
73512561314430
oct601776274200
9157646145342
1051807615104
111aa76059033
12a05a3228a8
134b683c7c6b
14271682a2c0
15153340471e
hexc0ff97880

51807615104 has 64 divisors (see below), whose sum is σ = 118150402560. Its totient is φ = 22166452224.

The previous prime is 51807615031. The next prime is 51807615109. The reversal of 51807615104 is 40151670815.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (51807615109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496244 + ... + 591500.

It is an arithmetic number, because the mean of its divisors is an integer number (1846100040).

Almost surely, 251807615104 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 51807615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59075201280).

51807615104 is an abundant number, since it is smaller than the sum of its proper divisors (66342787456).

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

51807615104 is an equidigital number, since it uses as much as digits as its factorization.

51807615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95885 (or 95873 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 38.

The spelling of 51807615104 in words is "fifty-one billion, eight hundred seven million, six hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 607 896 1214 2428 4249 4856 8498 9712 16996 19424 33992 38848 67984 77696 95257 135968 190514 271936 381028 543872 666799 762056 1333598 1524112 2667196 3048224 5334392 6096448 10668784 12192896 21337568 42675136 57820999 85350272 115641998 231283996 404746993 462567992 809493986 925135984 1618987972 1850271968 3237975944 3700543936 6475951888 7401087872 12951903776 25903807552 51807615104