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13074936588 = 223273113912041
BaseRepresentation
bin11000010110101001…
…11011001100001100
31020202012210121010200
430023110323030030
5203234140432323
610001225133500
7642003061440
oct141324731414
936665717120
1013074936588
1155aa50841a
12264a92a290
131304a7b48c
148c06b4820
15517d05443
hex30b53b30c

13074936588 has 144 divisors (see below), whose sum is σ = 39274260480. Its totient is φ = 3588883200.

The previous prime is 13074936571. The next prime is 13074936593. The reversal of 13074936588 is 88563947031.

13074936588 is a `hidden beast` number, since 13 + 0 + 7 + 49 + 3 + 6 + 588 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079848 + ... + 1091888.

It is an arithmetic number, because the mean of its divisors is an integer number (272737920).

Almost surely, 213074936588 is an apocalyptic number.

13074936588 is a gapful number since it is divisible by the number (18) 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 13074936588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19637130240).

13074936588 is an abundant number, since it is smaller than the sum of its proper divisors (26199323892).

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

13074936588 is a wasteful number, since it uses less digits than its factorization.

13074936588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12228 (or 12223 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13074936588 in words is "thirteen billion, seventy-four million, nine hundred thirty-six thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 139 186 217 252 278 279 372 417 434 556 558 651 834 868 973 1116 1251 1302 1668 1946 1953 2502 2604 2919 3892 3906 4309 5004 5838 7812 8618 8757 11676 12041 12927 17236 17514 24082 25854 30163 35028 36123 38781 48164 51708 60326 72246 77562 84287 90489 108369 120652 144492 155124 168574 180978 216738 252861 271467 337148 361956 373271 433476 505722 542934 746542 758583 1011444 1085868 1119813 1493084 1517166 1673699 2239626 2612897 3034332 3347398 3359439 4479252 5021097 5225794 6694796 6718878 7838691 10042194 10451588 11715893 13437756 15063291 15677382 20084388 23431786 23516073 30126582 31354764 35147679 46863572 47032146 51884669 60253164 70295358 94064292 103769338 105443037 140590716 155654007 207538676 210886074 311308014 363192683 421772148 466962021 622616028 726385366 933924042 1089578049 1452770732 1867848084 2179156098 3268734147 4358312196 6537468294 13074936588