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12322153952 = 252389313601
BaseRepresentation
bin10110111100111010…
…10010010111100000
31011210202022021111022
423132131102113200
5200213432411302
65354414305012
7614232403043
oct133635222740
934722267438
1012322153952
115253597709
12247a7b8168
131214b1b274
1484c71ac5a
154c1ba88a2
hex2de7525e0

12322153952 has 96 divisors (see below), whose sum is σ = 25722930240. Its totient is φ = 5798707200.

The previous prime is 12322153939. The next prime is 12322153967. The reversal of 12322153952 is 25935122321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20502452 + ... + 20503052.

It is an arithmetic number, because the mean of its divisors is an integer number (267947190).

Almost surely, 212322153952 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 12322153952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12861465120).

12322153952 is an abundant number, since it is smaller than the sum of its proper divisors (13400776288).

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

12322153952 is a wasteful number, since it uses less digits than its factorization.

12322153952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1028 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The spelling of 12322153952 in words is "twelve billion, three hundred twenty-two million, one hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 313 356 368 601 626 712 736 1202 1252 1424 2047 2404 2504 2848 4094 4808 5008 7199 8188 9616 10016 13823 14398 16376 19232 27646 27857 28796 32752 53489 55292 55714 57592 65504 106978 110584 111428 115184 188113 213956 221168 222856 230368 376226 427912 442336 445712 640711 752452 855824 891424 1230247 1281422 1504904 1711648 2460494 2562844 3009808 4326599 4920988 5125688 6019616 8653198 9841976 10251376 16742057 17306396 19683952 20502752 33484114 34612792 39367904 66968228 69225584 133936456 138451168 267872912 385067311 535745824 770134622 1540269244 3080538488 6161076976 12322153952