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12337855152 = 243743853949
BaseRepresentation
bin10110111110110010…
…01011101010110000
31011211211211222111020
423133121023222300
5200231442331102
65400135015440
7614513016120
oct133731135260
934754758436
1012337855152
115261441207
122483b0a580
131218157b0c
14850846c80
154c325abbc
hex2df64bab0

12337855152 has 80 divisors (see below), whose sum is σ = 37273209600. Its totient is φ = 3443118336.

The previous prime is 12337855139. The next prime is 12337855157. The reversal of 12337855152 is 25155873321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12337855157) by changing a digit.

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, 412527 + ... + 441422.

It is an arithmetic number, because the mean of its divisors is an integer number (465915120).

Almost surely, 212337855152 is an apocalyptic number.

12337855152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12337855152 is an abundant number, since it is smaller than the sum of its proper divisors (24935354448).

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

12337855152 is a wasteful number, since it uses less digits than its factorization.

12337855152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854010 (or 854004 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The spelling of 12337855152 in words is "twelve billion, three hundred thirty-seven million, eight hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 14448 853949 1707898 2561847 3415796 5123694 5977643 6831592 10247388 11955286 13663184 17932929 20494776 23910572 35865858 36719807 40989552 47821144 71731716 73439614 95642288 110159421 143463432 146879228 220318842 257038649 286926864 293758456 440637684 514077298 587516912 771115947 881275368 1028154596 1542231894 1762550736 2056309192 3084463788 4112618384 6168927576 12337855152