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113741339712 = 2637113136773
BaseRepresentation
bin110100111101110000…
…0110001110001000000
3101212120211101201121120
41221323200301301000
53330420240332322
6124130235352240
711134421302260
oct1517340616100
9355524351546
10113741339712
1144268026000
121a0638b2680
13a9586660a0
1457100457a0
152e5a7c7a5c
hex1a7b831c40

113741339712 has 896 divisors, whose sum is σ = 419144183808. Its totient is φ = 26495631360.

The previous prime is 113741339711. The next prime is 113741339729. The reversal of 113741339712 is 217933147311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (113741339711) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1558100508 + ... + 1558100580.

It is an arithmetic number, because the mean of its divisors is an integer number (467794848).

Almost surely, 2113741339712 is an apocalyptic number.

113741339712 is a gapful number since it is divisible by the number (12) 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 113741339712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209572091904).

113741339712 is an abundant number, since it is smaller than the sum of its proper divisors (305402844096).

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

113741339712 is a wasteful number, since it uses less digits than its factorization.

113741339712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The spelling of 113741339712 in words is "one hundred thirteen billion, seven hundred forty-one million, three hundred thirty-nine thousand, seven hundred twelve".