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51858056268 = 22327919195467
BaseRepresentation
bin110000010010111110…
…110010010001001100
311221212002002012122200
4300102332302101030
51322201130300033
635453454041500
73514043130264
oct602276622114
9157762065580
1051858056268
111aaa1580247
12a0731a9290
134b759a90c5
14271d3da7a4
151537a6a013
hexc12fb244c

51858056268 has 72 divisors (see below), whose sum is σ = 133441351680. Its totient is φ = 16977673440.

The previous prime is 51858056267. The next prime is 51858056269. The reversal of 51858056268 is 86265085815.

51858056268 is a `hidden beast` number, since 5 + 1 + 8 + 5 + 8 + 0 + 5 + 626 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (51858056267) and next prime (51858056269).

It is not an unprimeable number, because it can be changed into a prime (51858056267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495471 + ... + 590937.

Almost surely, 251858056268 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 51858056268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66720675840).

51858056268 is an abundant number, since it is smaller than the sum of its proper divisors (81583295412).

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

51858056268 is a wasteful number, since it uses less digits than its factorization.

51858056268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95747 (or 95742 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 51858056268 in words is "fifty-one billion, eight hundred fifty-eight million, fifty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 191 237 316 382 474 573 711 764 948 1146 1422 1719 2292 2844 3438 6876 15089 30178 45267 60356 90534 95467 135801 181068 190934 271602 286401 381868 543204 572802 859203 1145604 1718406 3436812 7541893 15083786 18234197 22625679 30167572 36468394 45251358 54702591 67877037 72936788 90502716 109405182 135754074 164107773 218810364 271508148 328215546 656431092 1440501563 2881003126 4321504689 5762006252 8643009378 12964514067 17286018756 25929028134 51858056268