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112622694660 = 2232572103151821
BaseRepresentation
bin110100011100011010…
…1011111000100000100
3101202200212110200002100
41220320311133010010
53321122402212120
6123423235112100
711064616052400
oct1507065370404
9352625420070
10112622694660
1143843636463
12199b1142630
13a80a987938
145645652100
152de24ac490
hex1a38d5f104

112622694660 has 432 divisors, whose sum is σ = 404404745472. Its totient is φ = 25292736000.

The previous prime is 112622694649. The next prime is 112622694671. The reversal of 112622694660 is 66496226211.

112622694660 is a `hidden beast` number, since 1 + 12 + 622 + 6 + 9 + 4 + 6 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112622694649) and next prime (112622694671).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137177050 + ... + 137177870.

It is an arithmetic number, because the mean of its divisors is an integer number (936122096).

Almost surely, 2112622694660 is an apocalyptic number.

112622694660 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 112622694660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202202372736).

112622694660 is an abundant number, since it is smaller than the sum of its proper divisors (291782050812).

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

112622694660 is a wasteful number, since it uses less digits than its factorization.

112622694660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 112622694660 in words is "one hundred twelve billion, six hundred twenty-two million, six hundred ninety-four thousand, six hundred sixty".