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12396335360 = 28529536301
BaseRepresentation
bin10111000101110000…
…10001000100000000
31011222220220002020212
423202320101010000
5200341430212420
65410024253252
7616123053263
oct134270210400
934886802225
1012396335360
115291454262
12249b611228
1312272c20a6
1485850acda
154c845d3c5
hex2e2e11100

12396335360 has 144 divisors (see below), whose sum is σ = 31301529840. Its totient is φ = 4696473600.

The previous prime is 12396335353. The next prime is 12396335407. The reversal of 12396335360 is 6353369321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 162205696 + 12234129664 = 12736^2 + 110608^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1964210 + ... + 1970510.

It is an arithmetic number, because the mean of its divisors is an integer number (217371735).

Almost surely, 212396335360 is an apocalyptic number.

12396335360 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 12396335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650764920).

12396335360 is an abundant number, since it is smaller than the sum of its proper divisors (18905194480).

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

12396335360 is an equidigital number, since it uses as much as digits as its factorization.

12396335360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 41.

The spelling of 12396335360 in words is "twelve billion, three hundred ninety-six million, three hundred thirty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 53 58 64 80 106 116 128 145 160 212 232 256 265 290 320 424 464 530 580 640 848 928 1060 1160 1280 1537 1696 1856 2120 2320 3074 3392 3712 4240 4640 6148 6301 6784 7424 7685 8480 9280 12296 12602 13568 15370 16960 18560 24592 25204 30740 31505 33920 37120 49184 50408 61480 63010 67840 98368 100816 122960 126020 182729 196736 201632 245920 252040 333953 365458 393472 403264 491840 504080 667906 730916 806528 913645 983680 1008160 1335812 1461832 1613056 1669765 1827290 1967360 2016320 2671624 2923664 3339530 3654580 4032640 5343248 5847328 6679060 7309160 8065280 9684637 10686496 11694656 13358120 14618320 19369274 21372992 23389312 26716240 29236640 38738548 42745984 46778624 48423185 53432480 58473280 77477096 85491968 96846370 106864960 116946560 154954192 193692740 213729920 233893120 309908384 387385480 427459840 619816768 774770960 1239633536 1549541920 2479267072 3099083840 6198167680 12396335360