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13457533506 = 23171016132131
BaseRepresentation
bin11001000100010000…
…11010101001000010
31021201212201112102220
430202020122221002
5210030112033011
610103213351510
7654330101364
oct144210325102
937655645386
1013457533506
11578647711a
122736a98596
1313661086a1
14919428d34
1553b6cc506
hex32221aa42

13457533506 has 64 divisors (see below), whose sum is σ = 28840945536. Its totient is φ = 4171392000.

The previous prime is 13457533501. The next prime is 13457533517. The reversal of 13457533506 is 60533575431.

It is a super-3 number, since 3×134575335063 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13457533501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6314061 + ... + 6316191.

It is an arithmetic number, because the mean of its divisors is an integer number (450639774).

Almost surely, 213457533506 is an apocalyptic number.

13457533506 is an abundant number, since it is smaller than the sum of its proper divisors (15383412030).

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

13457533506 is a wasteful number, since it uses less digits than its factorization.

13457533506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867.

The product of its (nonzero) digits is 567000, while the sum is 42.

The spelling of 13457533506 in words is "thirteen billion, four hundred fifty-seven million, five hundred thirty-three thousand, five hundred six".

Divisors: 1 2 3 6 17 34 51 101 102 202 303 606 613 1226 1717 1839 2131 3434 3678 4262 5151 6393 10302 10421 12786 20842 31263 36227 61913 62526 72454 108681 123826 185739 215231 217362 371478 430462 645693 1052521 1291386 1306303 2105042 2612606 3157563 3658927 3918909 6315126 7317854 7837818 10976781 21953562 22207151 44414302 66621453 131936603 133242906 263873206 395809809 791619618 2242922251 4485844502 6728766753 13457533506