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11337729156 = 22321343355949
BaseRepresentation
bin10101000111100100…
…00000010010000100
31002021010221022112200
422203302000102010
5141204424313111
65113010514500
7550650051645
oct124362002204
932233838480
1011337729156
1148989417a6
122244b95a30
1310b8ba54a0
14797aa56cc
15465552256
hex2a3c80484

11337729156 has 72 divisors (see below), whose sum is σ = 30935650200. Its totient is φ = 3480413184.

The previous prime is 11337729121. The next prime is 11337729157. The reversal of 11337729156 is 65192773311.

It can be written as a sum of positive squares in 4 ways, for example, as 267322500 + 11070406656 = 16350^2 + 105216^2 .

It is not an unprimeable number, because it can be changed into a prime (11337729157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174670 + ... + 230618.

Almost surely, 211337729156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11337729156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467825100).

11337729156 is an abundant number, since it is smaller than the sum of its proper divisors (19597921044).

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

11337729156 is a wasteful number, since it uses less digits than its factorization.

11337729156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56405 (or 56400 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The spelling of 11337729156 in words is "eleven billion, three hundred thirty-seven million, seven hundred twenty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 433 468 866 1299 1732 2598 3897 5196 5629 7794 11258 15588 16887 22516 33774 50661 55949 67548 101322 111898 167847 202644 223796 335694 503541 671388 727337 1007082 1454674 2014164 2182011 2909348 4364022 6546033 8728044 13092066 24225917 26184132 48451834 72677751 96903668 145355502 218033253 290711004 314936921 436066506 629873842 872133012 944810763 1259747684 1889621526 2834432289 3779243052 5668864578 11337729156