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38506132310220 = 22325638933483011
BaseRepresentation
bin10001100000101011010000…
…10101101000100011001100
312001100011001120022111202200
420300111220111220203030
520021341024332411340
6213521250055121500
711052655566145431
oct1060255025504314
9161304046274680
1038506132310220
11112a63a4922163
12439a8b5973290
1318641607940b3
149719c745db88
1546b975de3330
hex2305685688cc

38506132310220 has 72 divisors (see below), whose sum is σ = 116820219887280. Its totient is φ = 10266694458240.

The previous prime is 38506132310167. The next prime is 38506132310257. The reversal of 38506132310220 is 2201323160583.

38506132310220 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 613 + 2 + 3 + 10 + 2 + 20 = 666.

38506132310220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15591486 + ... + 17891525.

It is an arithmetic number, because the mean of its divisors is an integer number (1622503053990).

Almost surely, 238506132310220 is an apocalyptic number.

38506132310220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38506132310220 is an abundant number, since it is smaller than the sum of its proper divisors (78314087577060).

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

38506132310220 is a wasteful number, since it uses less digits than its factorization.

38506132310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33489415 (or 33489410 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38506132310220 in words is "thirty-eight trillion, five hundred six billion, one hundred thirty-two million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6389 12778 19167 25556 31945 38334 57501 63890 76668 95835 115002 127780 191670 230004 287505 383340 575010 1150020 33483011 66966022 100449033 133932044 167415055 200898066 301347099 334830110 401796132 502245165 602694198 669660220 1004490330 1205388396 1506735495 2008980660 3013470990 6026941980 213922957279 427845914558 641768871837 855691829116 1069614786395 1283537743674 1925306615511 2139229572790 2567075487348 3208844359185 3850613231022 4278459145580 6417688718370 7701226462044 9626533077555 12835377436740 19253066155110 38506132310220