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349879414664 = 23133364225141
BaseRepresentation
bin1010001011101100111…
…00000010111110001000
31020110002200211211101102
411011312130002332020
521213023112232124
6424422110040532
734164223645343
oct5056634027610
91213080754342
10349879414664
1112542389884a
1257985aa9148
1326cbb8cb160
1412d1184345a
15917b684aae
hex5176702f88

349879414664 has 16 divisors (see below), whose sum is σ = 706487279820. Its totient is φ = 161482806720.

The previous prime is 349879414631. The next prime is 349879414699. The reversal of 349879414664 is 466414978943.

It can be written as a sum of positive squares in 2 ways, for example, as 349221902500 + 657512164 = 590950^2 + 25642^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 349879414664.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1682112467 + ... + 1682112674.

Almost surely, 2349879414664 is an apocalyptic number.

It is an amenable number.

349879414664 is an abundant number, since it is smaller than the sum of its proper divisors (356607865156).

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

349879414664 is a wasteful number, since it uses less digits than its factorization.

349879414664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364225160 (or 3364225156 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 65.

The spelling of 349879414664 in words is "three hundred forty-nine billion, eight hundred seventy-nine million, four hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 3364225141 6728450282 13456900564 26913801128 43734926833 87469853666 174939707332 349879414664