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46679330916 = 223640012
BaseRepresentation
bin101011011110010011…
…100001000001100100
311110111011101201000000
4223132103201001210
51231044402042131
633235540021300
73241520523531
oct533623410144
9143434351000
1046679330916
11188842a1239
129068991830
13452bb0188a
14238b6d3d88
1513330acce6
hexade4e1064

46679330916 has 63 divisors (see below), whose sum is σ = 122507834953. Its totient is φ = 15555888000.

The previous prime is 46679330851. The next prime is 46679330923. The reversal of 46679330916 is 61903397664.

The square root of 46679330916 is 216054.

It is a perfect power (a square), and thus also a powerful number.

46679330916 is a `hidden beast` number, since 466 + 7 + 93 + 3 + 0 + 91 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1870908516 + 44808422400 = 43254^2 + 211680^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 11664916 + ... + 11668916.

Almost surely, 246679330916 is an apocalyptic number.

46679330916 is the 216054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46679330916

46679330916 is an abundant number, since it is smaller than the sum of its proper divisors (75828504037).

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

46679330916 is an frugal number, since it uses more digits than its factorization.

46679330916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 46679330916 in words is "forty-six billion, six hundred seventy-nine million, three hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4001 8002 12003 16004 24006 36009 48012 72018 108027 144036 216054 324081 432108 648162 972243 1296324 1944486 2916729 3888972 5833458 11666916 16008001 32016002 48024003 64032004 96048006 144072009 192096012 288144018 432216027 576288036 864432054 1296648081 1728864108 2593296162 3889944243 5186592324 7779888486 11669832729 15559776972 23339665458 46679330916