Search a number
-
+
51120658260 = 22325734779223
BaseRepresentation
bin101111100111000001…
…110101011101010100
311212221200112111202100
4233213001311131110
51314143342031020
635252353042100
73456550266000
oct574701653524
9155850474670
1051120658260
111a753308201
129aa8256330
134a88ca4619
14268d4c9700
1514e2e5ba90
hexbe7075754

51120658260 has 576 divisors, whose sum is σ = 187858944000. Its totient is φ = 11240716032.

The previous prime is 51120658229. The next prime is 51120658271. The reversal of 51120658260 is 6285602115.

51120658260 is a `hidden beast` number, since 5 + 1 + 12 + 0 + 6 + 582 + 60 = 666.

It is a super-2 number, since 2×511206582602 (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 229240509 + ... + 229240731.

It is an arithmetic number, because the mean of its divisors is an integer number (326144000).

Almost surely, 251120658260 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 51120658260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929472000).

51120658260 is an abundant number, since it is smaller than the sum of its proper divisors (136738285740).

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

51120658260 is a wasteful number, since it uses less digits than its factorization.

51120658260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 51120658260 in words is "fifty-one billion, one hundred twenty million, six hundred fifty-eight thousand, two hundred sixty".