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349951968504 = 233217285908471
BaseRepresentation
bin1010001011110101100…
…00110100010011111000
31020110021202100221112200
411011322300310103320
521213200200443004
6424433221110200
734166064436515
oct5057260642370
91213252327480
10349951968504
111254608435a6
12579a6258360
1327000952218
1412d1b32c30c
159182c17239
hex517ac344f8

349951968504 has 48 divisors (see below), whose sum is σ = 1003538736720. Its totient is φ = 109788852480.

The previous prime is 349951968463. The next prime is 349951968643. The reversal of 349951968504 is 405869159943.

349951968504 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 519 + 68 + 50 + 4 = 666.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 142953012 + ... + 142955459.

It is an arithmetic number, because the mean of its divisors is an integer number (20907057015).

Almost surely, 2349951968504 is an apocalyptic number.

349951968504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

349951968504 is an abundant number, since it is smaller than the sum of its proper divisors (653586768216).

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

349951968504 is a wasteful number, since it uses less digits than its factorization.

349951968504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285908500 (or 285908493 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 349951968504 in words is "three hundred forty-nine billion, nine hundred fifty-one million, nine hundred sixty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 285908471 571816942 857725413 1143633884 1715450826 2287267768 2573176239 3430901652 4860444007 5146352478 6861803304 9720888014 10292704956 14581332021 19441776028 20585409912 29162664042 38883552056 43743996063 58325328084 87487992126 116650656168 174975984252 349951968504