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15131350152 = 2334434391237
BaseRepresentation
bin11100001011110011…
…00001010010001000
31110001112022020020000
432011321201102020
5221442111201102
610541245203000
71043653232322
oct160571412210
943045266200
1015131350152
116465286366
122b23560460
131571b18239
14a37856612
155d860d01c
hex385e61488

15131350152 has 160 divisors (see below), whose sum is σ = 43501339200. Its totient is φ = 4911290496.

The previous prime is 15131350081. The next prime is 15131350177. The reversal of 15131350152 is 25105313151.

15131350152 is a `hidden beast` number, since 1 + 513 + 135 + 0 + 15 + 2 = 666.

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 39 ways as a sum of consecutive naturals, for example, 12231678 + ... + 12232914.

It is an arithmetic number, because the mean of its divisors is an integer number (271883370).

Almost surely, 215131350152 is an apocalyptic number.

15131350152 is a gapful number since it is divisible by the number (12) 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 15131350152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21750669600).

15131350152 is an abundant number, since it is smaller than the sum of its proper divisors (28369989048).

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

15131350152 is a wasteful number, since it uses less digits than its factorization.

15131350152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 15131350152 in words is "fifteen billion, one hundred thirty-one million, three hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 439 516 648 774 878 1032 1161 1237 1317 1548 1756 2322 2474 2634 3096 3483 3512 3711 3951 4644 4948 5268 6966 7422 7902 9288 9896 10536 11133 11853 13932 14844 15804 18877 22266 23706 27864 29688 31608 33399 35559 37754 44532 47412 53191 56631 66798 71118 75508 89064 94824 100197 106382 113262 133596 142236 151016 159573 169893 200394 212764 226524 267192 284472 319146 339786 400788 425528 453048 478719 509679 543043 638292 679572 801576 957438 1019358 1086086 1276584 1359144 1436157 1529037 1629129 1914876 2038716 2172172 2872314 3058074 3258258 3829752 4077432 4308471 4344344 4887387 5744628 6116148 6516516 8616942 9774774 11489256 12232296 13033032 14662161 17233884 19549548 23350849 29324322 34467768 39099096 43986483 46701698 58648644 70052547 87972966 93403396 117297288 140105094 175945932 186806792 210157641 280210188 351891864 420315282 560420376 630472923 840630564 1260945846 1681261128 1891418769 2521891692 3782837538 5043783384 7565675076 15131350152