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112613212416 = 2831271154581
BaseRepresentation
bin110100011100001000…
…1010100000100000000
3101202200012121220220010
41220320101110010000
53321112440244131
6123422255544520
711064442340355
oct1507021240400
9352605556803
10112613212416
114383924a2a1
12199a9b2b140
13a808a17943
1456442a462c
152de1737b46
hex1a38454100

112613212416 has 72 divisors (see below), whose sum is σ = 302075597824. Its totient is φ = 37242132480.

The previous prime is 112613212381. The next prime is 112613212423. The reversal of 112613212416 is 614212316211.

It is a super-2 number, since 2×1126132124162 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 479755 + ... + 674826.

Almost surely, 2112613212416 is an apocalyptic number.

112613212416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112613212416 is an abundant number, since it is smaller than the sum of its proper divisors (189462385408).

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

112613212416 is a wasteful number, since it uses less digits than its factorization.

112613212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154727 (or 1154713 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

Adding to 112613212416 its reverse (614212316211), we get a palindrome (726825528627).

The spelling of 112613212416 in words is "one hundred twelve billion, six hundred thirteen million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 762 768 1016 1524 2032 3048 4064 6096 8128 12192 16256 24384 32512 48768 97536 1154581 2309162 3463743 4618324 6927486 9236648 13854972 18473296 27709944 36946592 55419888 73893184 110839776 146631787 147786368 221679552 293263574 295572736 439895361 443359104 586527148 879790722 886718208 1173054296 1759581444 2346108592 3519162888 4692217184 7038325776 9384434368 14076651552 18768868736 28153303104 37537737472 56306606208 112613212416