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3363975680 = 29513101081
BaseRepresentation
bin1100100010000010…
…0011001000000000
322200102220200002212
43020200203020000
523342134210210
61313445401252
7146235215162
oct31040431000
98612820085
103363975680
11147697079a
1279a709228
13417c21a70
1423cab0932
1514a4dd805
hexc8823200

3363975680 has 80 divisors (see below), whose sum is σ = 8686178424. Its totient is φ = 1242071040.

The previous prime is 3363975673. The next prime is 3363975733. The reversal of 3363975680 is 865793633.

It can be written as a sum of positive squares in 4 ways, for example, as 2909092096 + 454883584 = 53936^2 + 21328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33639756802 = 22632664751262924800, which contains 22 as substring.

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, 17261 + ... + 83820.

Almost surely, 23363975680 is an apocalyptic number.

It is an amenable number.

3363975680 is an abundant number, since it is smaller than the sum of its proper divisors (5322202744).

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

3363975680 is a wasteful number, since it uses less digits than its factorization.

3363975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101117 (or 101101 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 50.

The square root of 3363975680 is about 57999.7903444487. The cubic root of 3363975680 is about 1498.3649858741.

The spelling of 3363975680 in words is "three billion, three hundred sixty-three million, nine hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 101081 202162 404324 505405 808648 1010810 1314053 1617296 2021620 2628106 3234592 4043240 5256212 6469184 6570265 8086480 10512424 12938368 13140530 16172960 21024848 25876736 26281060 32345920 42049696 51753472 52562120 64691840 84099392 105124240 129383680 168198784 210248480 258767360 336397568 420496960 672795136 840993920 1681987840 3363975680