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13008522402 = 2362921032
BaseRepresentation
bin11000001110101111…
…00100110010100010
31020120120211102000000
430013113210302202
5203120140204102
65550453440430
7640235421201
oct140727446242
936516742000
1013008522402
115575a76467
122630640116
1312c4096b45
148b5947238
1551208701c
hex3075e4ca2

13008522402 has 126 divisors (see below), whose sum is σ = 30596424417. Its totient is φ = 4146003792.

The previous prime is 13008522391. The next prime is 13008522421. The reversal of 13008522402 is 20422580031.

13008522402 is a `hidden beast` number, since 130 + 0 + 8 + 522 + 4 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13000788441 + 7733961 = 114021^2 + 2781^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80649.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 126296283 + ... + 126296385.

Almost surely, 213008522402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13008522402

13008522402 is an abundant number, since it is smaller than the sum of its proper divisors (17587902015).

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

13008522402 is an frugal number, since it uses more digits than its factorization.

13008522402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 13008522402 in words is "thirteen billion, eight million, five hundred twenty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 103 162 174 206 243 261 309 486 522 618 729 783 841 927 1458 1566 1682 1854 2349 2523 2781 2987 4698 5046 5562 5974 7047 7569 8343 8961 10609 14094 15138 16686 17922 21141 21218 22707 25029 26883 31827 42282 45414 50058 53766 63654 68121 75087 80649 86623 95481 136242 150174 161298 173246 190962 204363 241947 259869 286443 307661 408726 483894 519738 572886 613089 615322 725841 779607 859329 922983 1226178 1451682 1559214 1718658 1845966 2177523 2338821 2577987 2768949 4355046 4677642 5155974 5537898 7016463 7733961 8306847 8922169 14032926 15467922 16613694 17844338 21049389 24920541 26766507 42098778 49841082 53533014 63148167 74761623 80299521 126296334 149523246 160599042 224284869 240898563 448569738 481797126 722695689 1445391378 2168087067 4336174134 6504261201 13008522402