Search a number
-
+
51113194816 = 263172735437
BaseRepresentation
bin101111100110100101…
…010111010101000000
311212221011111022211111
4233212211113111000
51314134434213231
635251525053104
73456426662455
oct574645272500
9155834438744
1051113194816
111a74a07a872
129aa5857194
134a87590498
14268c50582c
1514e24854b1
hexbe6957540

51113194816 has 56 divisors (see below), whose sum is σ = 104846583296. Its totient is φ = 24697474560.

The previous prime is 51113194799. The next prime is 51113194843. The reversal of 51113194816 is 61849131115.

It is a happy number.

51113194816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511131948162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1424650 + ... + 1460086.

It is an arithmetic number, because the mean of its divisors is an integer number (1872260416).

Almost surely, 251113194816 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 51113194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52423291648).

51113194816 is an abundant number, since it is smaller than the sum of its proper divisors (53733388480).

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

51113194816 is a wasteful number, since it uses less digits than its factorization.

51113194816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36207 (or 36197 counting only the distinct ones).

The product of its digits is 25920, while the sum is 40.

The spelling of 51113194816 in words is "fifty-one billion, one hundred thirteen million, one hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 727 992 1454 1984 2908 5816 11632 22537 23264 35437 45074 46528 70874 90148 141748 180296 283496 360592 566992 721184 1098547 1133984 1442368 2197094 2267968 4394188 8788376 17576752 25762699 35153504 51525398 70307008 103050796 206101592 412203184 798643669 824406368 1597287338 1648812736 3194574676 6389149352 12778298704 25556597408 51113194816