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34564144505 = 51111325122157
BaseRepresentation
bin100000001100001011…
…101111110101111001
310022012211112110121012
4200030023233311321
51031241410111010
623513433323305
72332350244412
oct401413576571
9108184473535
1034564144505
1113727616390
126847566535
13334ab3a117
14195c690809
15d74688005
hex80c2efd79

34564144505 has 32 divisors (see below), whose sum is σ = 45831961728. Its totient is φ = 24814720000.

The previous prime is 34564144477. The next prime is 34564144523. The reversal of 34564144505 is 50544146543.

It is not a de Polignac number, because 34564144505 - 28 = 34564144249 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1548887 + ... + 1571043.

It is an arithmetic number, because the mean of its divisors is an integer number (1432248804).

Almost surely, 234564144505 is an apocalyptic number.

It is an amenable number.

34564144505 is a deficient number, since it is larger than the sum of its proper divisors (11267817223).

34564144505 is a wasteful number, since it uses less digits than its factorization.

34564144505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22537.

The product of its (nonzero) digits is 576000, while the sum is 41.

The spelling of 34564144505 in words is "thirty-four billion, five hundred sixty-four million, one hundred forty-four thousand, five hundred five".

Divisors: 1 5 11 55 113 251 565 1243 1255 2761 6215 13805 22157 28363 110785 141815 243727 311993 1218635 1559965 2503741 5561407 12518705 27541151 27807035 61175477 137705755 305877385 628438991 3142194955 6912828901 34564144505