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46625510340 = 22325259030613
BaseRepresentation
bin101011011011000110…
…001101001111000100
311110100102010100001100
4223123012031033010
51230442112312330
633230334300100
73240265204323
oct533306151704
9143312110040
1046625510340
1118856981022
129052957630
134520909496
1423844c40ba
15132d4cb060
hexadb18d3c4

46625510340 has 36 divisors (see below), whose sum is σ = 141430715244. Its totient is φ = 12433469376.

The previous prime is 46625510291. The next prime is 46625510357. The reversal of 46625510340 is 4301552664.

46625510340 is a `hidden beast` number, since 4 + 6 + 62 + 551 + 0 + 3 + 40 = 666.

46625510340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35560153476 + 11065356864 = 188574^2 + 105192^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 46625510295 and 46625510304.

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, 129515127 + ... + 129515486.

It is an arithmetic number, because the mean of its divisors is an integer number (3928630979).

Almost surely, 246625510340 is an apocalyptic number.

It is an amenable number.

46625510340 is an abundant number, since it is smaller than the sum of its proper divisors (94805204904).

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

46625510340 is a wasteful number, since it uses less digits than its factorization.

46625510340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259030628 (or 259030623 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 46625510340 in words is "forty-six billion, six hundred twenty-five million, five hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 259030613 518061226 777091839 1036122452 1295153065 1554183678 2331275517 2590306130 3108367356 3885459195 4662551034 5180612260 7770918390 9325102068 11656377585 15541836780 23312755170 46625510340