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13531135536 = 24344126211
BaseRepresentation
bin11001001101000010…
…01011111000110000
31021221000012220110000
430212201023320300
5210202432314121
610114403110000
7656212516512
oct144641137060
937830186400
1013531135536
115813a78446
122757672300
131378438899
14925107bb2
15542dba526
hex32684be30

13531135536 has 150 divisors (see below), whose sum is σ = 40147988276. Its totient is φ = 4399660800.

The previous prime is 13531135523. The next prime is 13531135537. The reversal of 13531135536 is 63553113531.

13531135536 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 113 + 5 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13531135536.

It is not an unprimeable number, because it can be changed into a prime (13531135537) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2175471 + ... + 2181681.

Almost surely, 213531135536 is an apocalyptic number.

13531135536 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 13531135536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073994138).

13531135536 is an abundant number, since it is smaller than the sum of its proper divisors (26616852740).

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

13531135536 is an equidigital number, since it uses as much as digits as its factorization.

13531135536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6257 counting only the distinct ones).

The product of its digits is 60750, while the sum is 36.

The spelling of 13531135536 in words is "thirteen billion, five hundred thirty-one million, one hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1681 1968 2214 2952 3321 3362 4428 5043 5904 6211 6642 6724 8856 10086 12422 13284 13448 15129 17712 18633 20172 24844 26568 26896 30258 37266 40344 45387 49688 53136 55899 60516 74532 80688 90774 99376 111798 121032 136161 149064 167697 181548 223596 242064 254651 272322 298128 335394 363096 447192 503091 509302 544644 670788 726192 763953 894384 1006182 1018604 1089288 1341576 1527906 2012364 2037208 2178576 2291859 2683152 3055812 4024728 4074416 4583718 6111624 6875577 8049456 9167436 10440691 12223248 13751154 18334872 20626731 20881382 27502308 31322073 36669744 41253462 41762764 55004616 62644146 82506924 83525528 93966219 110009232 125288292 165013848 167051056 187932438 250576584 281898657 330027696 375864876 501153168 563797314 751729752 845695971 1127594628 1503459504 1691391942 2255189256 3382783884 4510378512 6765567768 13531135536