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345716616504 = 233715311344113
BaseRepresentation
bin1010000011111100101…
…00001110110100111000
31020001100120210202211210
411001332110032310320
521131011423212004
6422453042523120
733656115516510
oct5017624166470
91201316722753
10345716616504
11123688020996
12570039664a0
13267a734948c
1412a38a32840
158ed5ea3089
hex507e50ed38

345716616504 has 64 divisors (see below), whose sum is σ = 988407671040. Its totient is φ = 98711585280.

The previous prime is 345716616499. The next prime is 345716616533. The reversal of 345716616504 is 405616617543.

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 15 ways as a sum of consecutive naturals, for example, 414849 + ... + 929264.

It is an arithmetic number, because the mean of its divisors is an integer number (15443869860).

Almost surely, 2345716616504 is an apocalyptic number.

It is an amenable number.

345716616504 is an abundant number, since it is smaller than the sum of its proper divisors (642691054536).

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

345716616504 is a wasteful number, since it uses less digits than its factorization.

345716616504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345660 (or 1345656 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 345716616504 in words is "three hundred forty-five billion, seven hundred sixteen million, six hundred sixteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1531 3062 4593 6124 9186 10717 12248 18372 21434 32151 36744 42868 64302 85736 128604 257208 1344113 2688226 4032339 5376452 8064678 9408791 10752904 16129356 18817582 28226373 32258712 37635164 56452746 75270328 112905492 225810984 2057837003 4115674006 6173511009 8231348012 12347022018 14404859021 16462696024 24694044036 28809718042 43214577063 49388088072 57619436084 86429154126 115238872168 172858308252 345716616504