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13136341504 = 291113593041
BaseRepresentation
bin11000011101111110…
…01010101000000000
31020220111100021211211
430032333022220000
5203400400412004
610011301215504
7643350026506
oct141677125000
936814307754
1013136341504
115631138890
122667401594
1313146caa50
148c88da676
1551d3d4504
hex30efcaa00

13136341504 has 160 divisors (see below), whose sum is σ = 31368617280. Its totient is φ = 5416550400.

The previous prime is 13136341457. The next prime is 13136341531. The reversal of 13136341504 is 40514363131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4318224 + ... + 4321264.

It is an arithmetic number, because the mean of its divisors is an integer number (196053858).

Almost surely, 213136341504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13136341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15684308640).

13136341504 is an abundant number, since it is smaller than the sum of its proper divisors (18232275776).

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

13136341504 is a wasteful number, since it uses less digits than its factorization.

13136341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 13136341504 in words is "thirteen billion, one hundred thirty-six million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 59 64 88 104 118 128 143 176 208 236 256 286 352 416 472 512 572 649 704 767 832 944 1144 1298 1408 1534 1664 1888 2288 2596 2816 3041 3068 3328 3776 4576 5192 5632 6082 6136 6656 7552 8437 9152 10384 12164 12272 15104 16874 18304 20768 24328 24544 30208 33451 33748 36608 39533 41536 48656 49088 66902 67496 73216 79066 83072 97312 98176 133804 134992 158132 166144 179419 194624 196352 267608 269984 316264 332288 358838 389248 392704 434863 535216 539968 632528 717676 778496 869726 1070432 1079936 1265056 1435352 1556992 1739452 1973609 2140864 2159872 2332447 2530112 2870704 3478904 3947218 4281728 4319744 4664894 5060224 5741408 6957808 7894436 8563456 9329788 10120448 11482816 13915616 15788872 17126912 18659576 20240896 22965632 25656917 27831232 31577744 37319152 45931264 51313834 55662464 63155488 74638304 91862528 102627668 111324928 126310976 149276608 205255336 222649856 252621952 298553216 410510672 505243904 597106432 821021344 1010487808 1194212864 1642042688 3284085376 6568170752 13136341504