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349672619680 = 2554153303753
BaseRepresentation
bin1010001011010100001…
…11001011111010100000
31020102120021201112222221
411011222013023322200
521212112142312210
6424345401440424
734156133140456
oct5055207137240
91212507645887
10349672619680
111253280946aa
12579287a0114
1326c87b05067
1412cd21b29d6
1591684371da
hex516a1cbea0

349672619680 has 48 divisors (see below), whose sum is σ = 846250398504. Its totient is φ = 136457605120.

The previous prime is 349672619609. The next prime is 349672619711. The reversal of 349672619680 is 86916276943.

It can be written as a sum of positive squares in 4 ways, for example, as 86499515664 + 263173104016 = 294108^2 + 513004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26645317 + ... + 26658436.

Almost surely, 2349672619680 is an apocalyptic number.

It is an amenable number.

349672619680 is an abundant number, since it is smaller than the sum of its proper divisors (496577778824).

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

349672619680 is a wasteful number, since it uses less digits than its factorization.

349672619680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53303809 (or 53303801 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 349672619680 in words is "three hundred forty-nine billion, six hundred seventy-two million, six hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 53303753 106607506 213215012 266518765 426430024 533037530 852860048 1066075060 1705720096 2132150120 2185453873 4264300240 4370907746 8528600480 8741815492 10927269365 17483630984 21854538730 34967261968 43709077460 69934523936 87418154920 174836309840 349672619680