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13625189136 = 24321329324841
BaseRepresentation
bin11001011000001111…
…11110001100010000
31022011120012022201200
430230013332030100
5210401022023021
610132003031200
7661434124326
oct145407761420
938146168650
1013625189136
115862078299
12278306b500
131391a798c0
149337cbd16
1554b298126
hex32c1fe310

13625189136 has 120 divisors (see below), whose sum is σ = 41206617816. Its totient is φ = 4177889280.

The previous prime is 13625189129. The next prime is 13625189203. The reversal of 13625189136 is 63198152631.

13625189136 is a `hidden beast` number, since 1 + 3 + 625 + 1 + 8 + 9 + 13 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 596336400 + 13028852736 = 24420^2 + 114144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13625189091 and 13625189100.

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, 536076 + ... + 560916.

Almost surely, 213625189136 is an apocalyptic number.

13625189136 is a gapful number since it is divisible by the number (16) 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 13625189136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603308908).

13625189136 is an abundant number, since it is smaller than the sum of its proper divisors (27581428680).

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

13625189136 is a wasteful number, since it uses less digits than its factorization.

13625189136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25161 (or 25152 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 13625189136 in words is "thirteen billion, six hundred twenty-five million, one hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 293 312 468 586 624 879 936 1172 1758 1872 2344 2637 3516 3809 4688 5274 7032 7618 10548 11427 14064 15236 21096 22854 24841 30472 34281 42192 45708 49682 60944 68562 74523 91416 99364 137124 149046 182832 198728 223569 274248 298092 322933 397456 447138 548496 596184 645866 894276 968799 1192368 1291732 1788552 1937598 2583464 2906397 3577104 3875196 5166928 5812794 7278413 7750392 11625588 14556826 15500784 21835239 23251176 29113652 43670478 46502352 58227304 65505717 87340956 94619369 116454608 131011434 174681912 189238738 262022868 283858107 349363824 378477476 524045736 567716214 756954952 851574321 1048091472 1135432428 1513909904 1703148642 2270864856 3406297284 4541729712 6812594568 13625189136