Search a number
-
+
13685699538 = 2327531072179
BaseRepresentation
bin11001011111011101…
…10011001111010010
31022022210001120101200
430233232303033102
5211012014341123
610142004012030
7663100345440
oct145756631722
938283046350
1013685699538
115893247695
12279b391016
1313a1474c84
1493b85db90
1555174c143
hex32fbb33d2

13685699538 has 144 divisors (see below), whose sum is σ = 35048220480. Its totient is φ = 3779335872.

The previous prime is 13685699497. The next prime is 13685699543. The reversal of 13685699538 is 83599658631.

13685699538 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 5 + 6 + 99 + 538 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76456333 + ... + 76456511.

It is an arithmetic number, because the mean of its divisors is an integer number (243390420).

Almost surely, 213685699538 is an apocalyptic number.

13685699538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13685699538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524110240).

13685699538 is an abundant number, since it is smaller than the sum of its proper divisors (21362520942).

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

13685699538 is a wasteful number, since it uses less digits than its factorization.

13685699538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 351 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 13685699538 in words is "thirteen billion, six hundred eighty-five million, six hundred ninety-nine thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 107 126 159 179 214 318 321 358 371 477 537 642 742 749 954 963 1074 1113 1253 1498 1611 1926 2226 2247 2506 3222 3339 3759 4494 5671 6678 6741 7518 9487 11277 11342 11449 13482 17013 18974 19153 22554 22898 28461 34026 34347 38306 39697 51039 56922 57459 66409 68694 79394 80143 85383 102078 103041 114918 119091 132818 134071 160286 170766 172377 199227 206082 238182 240429 268142 344754 357273 398454 402213 480858 597681 606797 714546 721287 804426 1015109 1195362 1206639 1213594 1442574 1820391 2030218 2049371 2413278 3045327 3640782 4098742 4247579 5461173 6090654 6148113 7105763 8495158 9135981 10922346 12296226 12742737 14211526 14345597 18271962 18444339 21317289 25485474 28691194 36888678 38228211 42634578 43036791 63951867 76456422 86073582 108616663 127903734 129110373 217233326 258220746 325849989 651699978 760316641 977549967 1520633282 1955099934 2280949923 4561899846 6842849769 13685699538