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34564968972 = 2234106682003
BaseRepresentation
bin100000001100001110…
…111001001000001100
310022012220002100120000
4200030032321020030
51031242113001342
623513503124300
72332360250202
oct401416711014
9108186070500
1034564968972
1113728029866
1268478a3690
13334b068481
14195c827072
15d7479c44c
hex80c3b920c

34564968972 has 30 divisors (see below), whose sum is σ = 90359657388. Its totient is φ = 11521656216.

The previous prime is 34564968959. The next prime is 34564968989. The reversal of 34564968972 is 27986946543.

34564968972 is a `hidden beast` number, since 3 + 4 + 56 + 496 + 8 + 97 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 53340678 + ... + 53341325.

Almost surely, 234564968972 is an apocalyptic number.

It is an amenable number.

34564968972 is an abundant number, since it is smaller than the sum of its proper divisors (55794688416).

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

34564968972 is a wasteful number, since it uses less digits than its factorization.

34564968972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106682019 (or 106682008 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 34564968972 in words is "thirty-four billion, five hundred sixty-four million, nine hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 106682003 213364006 320046009 426728012 640092018 960138027 1280184036 1920276054 2880414081 3840552108 5760828162 8641242243 11521656324 17282484486 34564968972