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112796944533504 = 211367113121021
BaseRepresentation
bin11001101001011010010101…
…110011111000100000000000
3112210101021122000010121000000
4121221122111303320200000
5104241031120300033004
61035522111224000000
732521211303011230
oct3151322563704000
9483337560117000
10112796944533504
1132a38a08640550
1210798978600000
134ac292477a34a
141dbd589031cc0
15d09192633c39
hex669695cf8800

112796944533504 has 2016 divisors, whose sum is σ = 436059191655360. Its totient is φ = 28325044224000.

The previous prime is 112796944533467. The next prime is 112796944533557. The reversal of 112796944533504 is 405335449697211.

112796944533504 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 9 + 6 + 9 + 44 + 533 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 110476928514 + ... + 110476929534.

It is an arithmetic number, because the mean of its divisors is an integer number (216299202210).

Almost surely, 2112796944533504 is an apocalyptic number.

112796944533504 is a gapful number since it is divisible by the number (14) 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 112796944533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218029595827680).

112796944533504 is an abundant number, since it is smaller than the sum of its proper divisors (323262247121856).

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

112796944533504 is an equidigital number, since it uses as much as digits as its factorization.

112796944533504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 112796944533504 in words is "one hundred twelve trillion, seven hundred ninety-six billion, nine hundred forty-four million, five hundred thirty-three thousand, five hundred four".