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13831026192 = 24321716013529
BaseRepresentation
bin11001110000110010…
…01011011000010000
31022200220111221002100
430320121023120100
5211311220314232
610204234520400
7666513532344
oct147031133020
938626457070
1013831026192
115958287765
12281bb96100
1313c55c8989
14952c8d624
1555e3a6c7c
hex33864b610

13831026192 has 120 divisors (see below), whose sum is σ = 41021805240. Its totient is φ = 4335206400.

The previous prime is 13831026161. The next prime is 13831026211. The reversal of 13831026192 is 29162013831.

13831026192 is a `hidden beast` number, since 1 + 3 + 8 + 31 + 0 + 2 + 619 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5344194816 + 8486831376 = 73104^2 + 92124^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3917484 + ... + 3921012.

It is an arithmetic number, because the mean of its divisors is an integer number (341848377).

Almost surely, 213831026192 is an apocalyptic number.

13831026192 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 13831026192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20510902620).

13831026192 is an abundant number, since it is smaller than the sum of its proper divisors (27190779048).

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

13831026192 is a wasteful number, since it uses less digits than its factorization.

13831026192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 13831026192 in words is "thirteen billion, eight hundred thirty-one million, twenty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1601 2448 3202 3529 4803 6404 7058 9606 10587 12808 14116 14409 19212 21174 25616 27217 28232 28818 31761 38424 42348 54434 56464 57636 59993 63522 76848 81651 84696 108868 115272 119986 127044 163302 169392 179979 217736 230544 239972 244953 254088 326604 359958 435472 479944 489906 508176 539937 653208 719916 959888 979812 1079874 1306416 1439832 1959624 2159748 2879664 3919248 4319496 5649929 8638992 11299858 16949787 22599716 33899574 45199432 50849361 67799148 90398864 96048793 101698722 135598296 192097586 203397444 271196592 288146379 384195172 406794888 576292758 768390344 813589776 864439137 1152585516 1536780688 1728878274 2305171032 3457756548 4610342064 6915513096 13831026192