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13612236520 = 2354356314057
BaseRepresentation
bin11001010110101101…
…00011111011101000
31022010122211021002011
430223112203323220
5210334213032040
610130421245304
7661216046521
oct145326437350
938118737064
1013612236520
115855830853
12277a863834
13138c19312c
14931bb9848
1554a08a3ea
hex32b5a3ee8

13612236520 has 64 divisors (see below), whose sum is σ = 31397699520. Its totient is φ = 5308445184.

The previous prime is 13612236509. The next prime is 13612236551. The reversal of 13612236520 is 2563221631.

It is a happy number.

It is a super-3 number, since 3×136122365203 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961332 + ... + 975388.

It is an arithmetic number, because the mean of its divisors is an integer number (490589055).

Almost surely, 213612236520 is an apocalyptic number.

13612236520 is a gapful number since it is divisible by the number (10) 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 13612236520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15698849760).

13612236520 is an abundant number, since it is smaller than the sum of its proper divisors (17785463000).

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

13612236520 is a wasteful number, since it uses less digits than its factorization.

13612236520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674 (or 14670 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 13612236520 in words is "thirteen billion, six hundred twelve million, two hundred thirty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 563 860 1126 1720 2252 2815 4504 5630 11260 14057 22520 24209 28114 48418 56228 70285 96836 112456 121045 140570 193672 242090 281140 484180 562280 604451 968360 1208902 2417804 3022255 4835608 6044510 7914091 12089020 15828182 24178040 31656364 39570455 63312728 79140910 158281820 316563640 340305913 680611826 1361223652 1701529565 2722447304 3403059130 6806118260 13612236520