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38301137080 = 23519792412647
BaseRepresentation
bin100011101010111011…
…001111100010111000
310122212021100100200121
4203222323033202320
51111420042341310
625332330143024
72524065202453
oct435273174270
9118767310617
1038301137080
1115274aa21a8
12750ab81a74
1337c511372b
141bd4b0049a
15ee27aa0da
hex8eaecf8b8

38301137080 has 128 divisors (see below), whose sum is σ = 92277504000. Its totient is φ = 14265538560.

The previous prime is 38301137057. The next prime is 38301137093. The reversal of 38301137080 is 8073110383.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14468317 + ... + 14470963.

It is an arithmetic number, because the mean of its divisors is an integer number (720918000).

Almost surely, 238301137080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38301137080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46138752000).

38301137080 is an abundant number, since it is smaller than the sum of its proper divisors (53976366920).

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

38301137080 is a wasteful number, since it uses less digits than its factorization.

38301137080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 38301137080 in words is "thirty-eight billion, three hundred one million, one hundred thirty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 241 316 380 395 482 632 760 790 964 1205 1501 1580 1928 2410 2647 3002 3160 4579 4820 5294 6004 7505 9158 9640 10588 12008 13235 15010 18316 19039 21176 22895 26470 30020 36632 38078 45790 50293 52940 60040 76156 91580 95195 100586 105880 152312 183160 190390 201172 209113 251465 361741 380780 402344 418226 502930 637927 723482 761560 836452 1005860 1045565 1275854 1446964 1672904 1808705 2011720 2091130 2551708 2893928 3189635 3617410 3973147 4182260 5103416 6379270 7234820 7946294 8364520 12120613 12758540 14469640 15892588 19865735 24241226 25517080 31785176 39731470 48482452 50396233 60603065 79462940 96964904 100792466 121206130 158925880 201584932 242412260 251981165 403169864 484824520 503962330 957528427 1007924660 1915056854 2015849320 3830113708 4787642135 7660227416 9575284270 19150568540 38301137080