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12515425216 = 267791991777
BaseRepresentation
bin10111010011111101…
…00011101111000000
31012022012222110211021
423221332203233000
5201112422101331
65425520555224
7622100234110
oct135176435700
935265873737
1012515425216
1153426a4228
122513482b14
131245b8a968
1486a26b040
154d3b34211
hex2e9fa3bc0

12515425216 has 112 divisors (see below), whose sum is σ = 28903168000. Its totient is φ = 5266280448.

The previous prime is 12515425189. The next prime is 12515425231. The reversal of 12515425216 is 61252451521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7042120 + ... + 7043896.

It is an arithmetic number, because the mean of its divisors is an integer number (258064000).

Almost surely, 212515425216 is an apocalyptic number.

12515425216 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 12515425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14451584000).

12515425216 is an abundant number, since it is smaller than the sum of its proper divisors (16387742784).

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

12515425216 is a wasteful number, since it uses less digits than its factorization.

12515425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2064 counting only the distinct ones).

The product of its digits is 24000, while the sum is 34.

Adding to 12515425216 its reverse (61252451521), we get a palindrome (73767876737).

The spelling of 12515425216 in words is "twelve billion, five hundred fifteen million, four hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 199 224 316 398 448 553 632 796 1106 1264 1393 1592 1777 2212 2528 2786 3184 3554 4424 5056 5572 6368 7108 8848 11144 12439 12736 14216 15721 17696 22288 24878 28432 31442 35392 44576 49756 56864 62884 89152 99512 110047 113728 125768 140383 199024 220094 251536 280766 353623 398048 440188 503072 561532 707246 796096 880376 982681 1006144 1123064 1414492 1760752 1965362 2246128 2475361 2828984 3521504 3930724 4492256 4950722 5657968 7043008 7861448 8984512 9901444 11315936 15722896 19802888 22631872 27936217 31445792 39605776 55872434 62891584 79211552 111744868 158423104 195553519 223489736 391107038 446979472 782214076 893958944 1564428152 1787917888 3128856304 6257712608 12515425216