Search a number
-
+
51057252144 = 24322315415837
BaseRepresentation
bin101111100011001111…
…111101011100110000
311212210021020010220200
4233203033331130300
51314031124032034
635242210035200
73455150324343
oct574317753460
9155707203820
1051057252144
111a720540258
129a8ab78b00
134a78b04202
142684d0245a
1514dc5d4a99
hexbe33fd730

51057252144 has 60 divisors (see below), whose sum is σ = 149101985136. Its totient is φ = 16279122816.

The previous prime is 51057252133. The next prime is 51057252173. The reversal of 51057252144 is 44125275015.

51057252144 is a `hidden beast` number, since 510 + 57 + 2 + 52 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51057252099 and 51057252108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7704607 + ... + 7711230.

Almost surely, 251057252144 is an apocalyptic number.

It is an amenable number.

51057252144 is an abundant number, since it is smaller than the sum of its proper divisors (98044732992).

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

51057252144 is a wasteful number, since it uses less digits than its factorization.

51057252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15415874 (or 15415865 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 51057252144 in words is "fifty-one billion, fifty-seven million, two hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 15415837 30831674 46247511 61663348 92495022 123326696 138742533 184990044 246653392 277485066 354564251 369980088 554970132 709128502 739960176 1063692753 1109940264 1418257004 2127385506 2219880528 2836514008 3191078259 4254771012 5673028016 6382156518 8509542024 12764313036 17019084048 25528626072 51057252144