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12618116736 = 273277313379
BaseRepresentation
bin10111100000001100…
…10010111010000000
31012120101012202002220
423300012102322000
5201320214213421
65444030011040
7624455136231
oct136006227200
935511182086
1012618116736
115395663955
122541946a80
131261234584
14879b5d088
154dcb6b3c6
hex2f0192e80

12618116736 has 128 divisors (see below), whose sum is σ = 33834379200. Its totient is φ = 4166443008.

The previous prime is 12618116723. The next prime is 12618116741. The reversal of 12618116736 is 63761181621.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33292995 + ... + 33293373.

Almost surely, 212618116736 is an apocalyptic number.

12618116736 is a gapful number since it is divisible by the number (16) 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 12618116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917189600).

12618116736 is an abundant number, since it is smaller than the sum of its proper divisors (21216262464).

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

12618116736 is a wasteful number, since it uses less digits than its factorization.

12618116736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 974 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 12618116736 in words is "twelve billion, six hundred eighteen million, one hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 313 379 384 554 626 758 831 939 1108 1137 1252 1516 1662 1878 2216 2274 2504 3032 3324 3756 4432 4548 5008 6064 6648 7512 8864 9096 10016 12128 13296 15024 17728 18192 20032 24256 26592 30048 35456 36384 40064 48512 53184 60096 72768 86701 104983 106368 118627 120192 145536 173402 209966 237254 260103 314949 346804 355881 419932 474508 520206 629898 693608 711762 839864 949016 1040412 1259796 1387216 1423524 1679728 1898032 2080824 2519592 2774432 2847048 3359456 3796064 4161648 5039184 5548864 5694096 6718912 7592128 8323296 10078368 11097728 11388192 13437824 15184256 16646592 20156736 22776384 32859679 33293184 40313472 45552768 65719358 98579037 131438716 197158074 262877432 394316148 525754864 788632296 1051509728 1577264592 2103019456 3154529184 4206038912 6309058368 12618116736