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38372120841672 = 23323171681218053
BaseRepresentation
bin10001011100110001101001…
…01000011100110111001000
312000212100011002002112210200
420232120310220130313020
520012142100413413142
6213335524200212200
711040202632360462
oct1056306450346710
9160770132075720
1038372120841672
1111254585946372
12437893576a060
1318546247b3a47
149693132d7132
15468230ce164c
hex22e634a1cdc8

38372120841672 has 48 divisors (see below), whose sum is σ = 104252331528540. Its totient is φ = 12750357706368.

The previous prime is 38372120841671. The next prime is 38372120841707. The reversal of 38372120841672 is 27614802127383.

It is a happy number.

38372120841672 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 212 + 0 + 8 + 416 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38371260358116 + 860483556 = 6194454^2 + 29334^2 .

It is not an unprimeable number, because it can be changed into a prime (38372120841671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840586203 + ... + 840631850.

Almost surely, 238372120841672 is an apocalyptic number.

It is an amenable number.

38372120841672 is an abundant number, since it is smaller than the sum of its proper divisors (65880210686868).

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

38372120841672 is a wasteful number, since it uses less digits than its factorization.

38372120841672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681218382 (or 1681218375 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 38372120841672 in words is "thirty-eight trillion, three hundred seventy-two billion, one hundred twenty million, eight hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 317 634 951 1268 1902 2536 2853 3804 5706 7608 11412 22824 1681218053 3362436106 5043654159 6724872212 10087308318 13449744424 15130962477 20174616636 30261924954 40349233272 60523849908 121047699816 532946122801 1065892245602 1598838368403 2131784491204 3197676736806 4263568982408 4796515105209 6395353473612 9593030210418 12790706947224 19186060420836 38372120841672