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13748406192 = 24321713074297
BaseRepresentation
bin11001100110111100…
…00000011110110000
31022111011001101202100
430303132000132300
5211124042444232
610152124020400
7664461344613
oct146336003660
938434041670
1013748406192
115915687074
1227b8391700
1313b145bbc1
14945d0417a
15556ed6c7c
hex3337807b0

13748406192 has 120 divisors (see below), whose sum is σ = 40780421136. Its totient is φ = 4308922368.

The previous prime is 13748406187. The next prime is 13748406233. The reversal of 13748406192 is 29160484731.

13748406192 is a `hidden beast` number, since 13 + 7 + 48 + 406 + 192 = 666.

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, 3197388 + ... + 3201684.

Almost surely, 213748406192 is an apocalyptic number.

13748406192 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 13748406192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20390210568).

13748406192 is an abundant number, since it is smaller than the sum of its proper divisors (27032014944).

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

13748406192 is a wasteful number, since it uses less digits than its factorization.

13748406192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5635 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13748406192 in words is "thirteen billion, seven hundred forty-eight million, four hundred six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1307 2448 2614 3921 4297 5228 7842 8594 10456 11763 12891 15684 17188 20912 22219 23526 25782 31368 34376 38673 44438 47052 51564 62736 66657 68752 73049 77346 88876 94104 103128 133314 146098 154692 177752 188208 199971 206256 219147 266628 292196 309384 355504 399942 438294 533256 584392 618768 657441 799884 876588 1066512 1168784 1314882 1599768 1753176 2629764 3199536 3506352 5259528 5616179 10519056 11232358 16848537 22464716 33697074 44929432 50545611 67394148 89858864 95475043 101091222 134788296 190950086 202182444 269576592 286425129 381900172 404364888 572850258 763800344 808729776 859275387 1145700516 1527600688 1718550774 2291401032 3437101548 4582802064 6874203096 13748406192