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38676110208320 = 265139297141877
BaseRepresentation
bin10001100101100111110111…
…10011110110110101000000
312001221101210121201101210002
420302303323303312311000
520032132133203131240
6214131320523255132
711101154031351524
oct1062637363666500
9161841717641702
1038676110208320
111136149aa238a2
12440783307a4a8
1318771abc80120
14979d101c1d84
154710c3824d15
hex232cfbcf6d40

38676110208320 has 56 divisors (see below), whose sum is σ = 99181909554504. Its totient is φ = 14280409921536.

The previous prime is 38676110208301. The next prime is 38676110208427. The reversal of 38676110208320 is 2380201167683.

It can be written as a sum of positive squares in 4 ways, for example, as 2244938849344 + 36431171358976 = 1498312^2 + 6035824^2 .

It is a super-2 number, since 2×386761102083202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 4648566779 + ... + 4648575098.

It is an arithmetic number, because the mean of its divisors is an integer number (1771105527759).

Almost surely, 238676110208320 is an apocalyptic number.

It is an amenable number.

38676110208320 is an abundant number, since it is smaller than the sum of its proper divisors (60505799346184).

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

38676110208320 is a wasteful number, since it uses less digits than its factorization.

38676110208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297141907 (or 9297141897 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 38676110208320 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred ten million, two hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 9297141877 18594283754 37188567508 46485709385 74377135016 92971418770 120862844401 148754270032 185942837540 241725688802 297508540064 371885675080 483451377604 595017080128 604314222005 743771350160 966902755208 1208628444010 1487542700320 1933805510416 2417256888020 2975085400640 3867611020832 4834513776040 7735222041664 9669027552080 19338055104160 38676110208320