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13431373872 = 2437173975923
BaseRepresentation
bin11001000001001001…
…01000000000110000
31021200001111111011120
430200210220000300
5210001412430442
610100440542240
7653561536260
oct144044500060
937601444146
1013431373872
115772729a94
12272a181980
131360879707
14915b797a0
155392614ec
hex320928030

13431373872 has 160 divisors (see below), whose sum is σ = 42100019712. Its totient is φ = 3602092032.

The previous prime is 13431373853. The next prime is 13431373903. The reversal of 13431373872 is 27837313431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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, 2264703 + ... + 2270625.

Almost surely, 213431373872 is an apocalyptic number.

13431373872 is a gapful number since it is divisible by the number (12) 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 13431373872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21050009856).

13431373872 is an abundant number, since it is smaller than the sum of its proper divisors (28668645840).

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

13431373872 is a wasteful number, since it uses less digits than its factorization.

13431373872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6349 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The spelling of 13431373872 in words is "thirteen billion, four hundred thirty-one million, three hundred seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 397 408 476 714 794 816 952 1191 1428 1588 1904 2382 2779 2856 3176 4764 5558 5712 5923 6352 6749 8337 9528 11116 11846 13498 16674 17769 19056 20247 22232 23692 26996 33348 35538 40494 41461 44464 47243 47384 53992 66696 71076 80988 82922 94486 94768 100691 107984 124383 133392 141729 142152 161976 165844 188972 201382 248766 283458 284304 302073 323952 331688 377944 402764 497532 566916 604146 663376 704837 755888 805528 995064 1133832 1208292 1409674 1611056 1990128 2114511 2267664 2351431 2416584 2819348 4229022 4702862 4833168 5638696 7054293 8458044 9405724 11277392 14108586 16460017 16916088 18811448 28217172 32920034 33832176 37622896 39974327 49380051 56434344 65840068 79948654 98760102 112868688 119922981 131680136 159897308 197520204 239845962 263360272 279820289 319794616 395040408 479691924 559640578 639589232 790080816 839460867 959383848 1119281156 1678921734 1918767696 2238562312 3357843468 4477124624 6715686936 13431373872