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13028396164 = 22723122632
BaseRepresentation
bin11000010001000110…
…11000110010000100
31020121222020002200021
430020203120302010
5203140232134124
65552443424524
7640566353200
oct141043306204
936558202607
1013028396164
11558620a963
122637225144
1312c8234974
148b843bb00
15513bb07e4
hex3088d8c84

13028396164 has 81 divisors (see below), whose sum is σ = 27509840631. Its totient is φ = 5382936720.

The previous prime is 13028396141. The next prime is 13028396177. The reversal of 13028396164 is 46169382031.

The square root of 13028396164 is 114142.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×130283961642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13028396164.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49537497 + ... + 49537759.

Almost surely, 213028396164 is an apocalyptic number.

13028396164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13028396164 is the 114142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13028396164

13028396164 is an abundant number, since it is smaller than the sum of its proper divisors (14481444467).

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

13028396164 is an equidigital number, since it uses as much as digits as its factorization.

13028396164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 13028396164 in words is "thirteen billion, twenty-eight million, three hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 263 434 526 868 961 1052 1519 1841 1922 3038 3682 3844 6076 6727 7364 8153 12887 13454 16306 25774 26908 32612 47089 51548 57071 69169 94178 114142 138338 188356 228284 252743 276676 399497 484183 505486 798994 968366 1010972 1597988 1769201 1936732 2144239 3389281 3538402 4288478 6778562 7076804 8576956 12384407 13557124 15009673 24768814 30019346 49537628 60038692 66471409 105067711 132942818 210135422 265885636 420270844 465299863 930599726 1861199452 3257099041 6514198082 13028396164