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13475838120 = 23351747140549
BaseRepresentation
bin11001000110011100…
…01111100010101000
31021210011011111122120
430203032033202220
5210044303304440
610105105551240
7654641506533
oct144316174250
937704144576
1013475838120
1157958396a8
122741045520
131369b47214
1491ba31a1a
1553d0e5dd0
hex32338f8a8

13475838120 has 128 divisors (see below), whose sum is σ = 43716672000. Its totient is φ = 3310186496.

The previous prime is 13475838113. The next prime is 13475838163. The reversal of 13475838120 is 2183857431.

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, 25606 + ... + 166154.

It is an arithmetic number, because the mean of its divisors is an integer number (341536500).

Almost surely, 213475838120 is an apocalyptic number.

13475838120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13475838120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21858336000).

13475838120 is an abundant number, since it is smaller than the sum of its proper divisors (30240833880).

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

13475838120 is a wasteful number, since it uses less digits than its factorization.

13475838120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140627 (or 140623 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 13475838120 in words is "thirteen billion, four hundred seventy-five million, eight hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 47 51 60 68 85 94 102 120 136 141 170 188 204 235 255 282 340 376 408 470 510 564 680 705 799 940 1020 1128 1410 1598 1880 2040 2397 2820 3196 3995 4794 5640 6392 7990 9588 11985 15980 19176 23970 31960 47940 95880 140549 281098 421647 562196 702745 843294 1124392 1405490 1686588 2108235 2389333 2810980 3373176 4216470 4778666 5621960 6605803 7167999 8432940 9557332 11946665 13211606 14335998 16865880 19114664 19817409 23893330 26423212 28671996 33029015 35839995 39634818 47786660 52846424 57343992 66058030 71679990 79269636 95573320 99087045 112298651 132116060 143359980 158539272 198174090 224597302 264232120 286719960 336895953 396348180 449194604 561493255 673791906 792696360 898389208 1122986510 1347583812 1684479765 2245973020 2695167624 3368959530 4491946040 6737919060 13475838120