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13052513232 = 24331117161573
BaseRepresentation
bin11000010011111110…
…11000101111010000
31020200122121101002000
430021333120233100
5203212420410412
65555104354000
7641311350303
oct141177305720
936618541060
1013052513232
115598892420
122643315900
13130022a015
148bb718b3a
15515d764dc
hex309fd8bd0

13052513232 has 160 divisors (see below), whose sum is σ = 43275980160. Its totient is φ = 3722618880.

The previous prime is 13052513213. The next prime is 13052513261. The reversal of 13052513232 is 23231525031.

It is a happy number.

13052513232 is a `hidden beast` number, since 1 + 3 + 0 + 525 + 132 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13052513196 and 13052513205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3 + ... + 161570.

It is an arithmetic number, because the mean of its divisors is an integer number (270474876).

Almost surely, 213052513232 is an apocalyptic number.

13052513232 is a gapful number since it is divisible by the number (12) 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 13052513232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637990080).

13052513232 is an abundant number, since it is smaller than the sum of its proper divisors (30223466928).

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

13052513232 is a wasteful number, since it uses less digits than its factorization.

13052513232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161618 (or 161606 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 13052513232 in words is "thirteen billion, fifty-two million, five hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8976 10098 13464 20196 26928 40392 80784 161573 323146 484719 646292 969438 1292584 1454157 1777303 1938876 2585168 2746741 2908314 3554606 3877752 4362471 5331909 5493482 5816628 7109212 7755504 8240223 8724942 10663818 10986964 11633256 14218424 15995727 16480446 17449884 21327636 21973928 23266512 24720669 28436848 30214151 31991454 32960892 34899768 42655272 43947856 47987181 49441338 60428302 63982908 65921784 69799536 74162007 85310544 90642453 95974362 98882676 120856604 127965816 131843568 148324014 181284906 191948724 197765352 241713208 255931632 271927359 296648028 362569812 383897448 395530704 483426416 543854718 593296056 725139624 767794896 815782077 1087709436 1186592112 1450279248 1631564154 2175418872 3263128308 4350837744 6526256616 13052513232