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113443299648 = 26327235323081
BaseRepresentation
bin110100110100110111…
…1110110000101000000
3101211211001120201111200
41221221233312011000
53324312441042043
6124040511341200
711124142064640
oct1515157660500
9354731521450
10113443299648
11441248700a8
1219b9bb21800
13a90b9a3413
1456c2622520
152e3e5547d3
hex1a69bf6140

113443299648 has 336 divisors, whose sum is σ = 395107704576. Its totient is φ = 30416855040.

The previous prime is 113443299647. The next prime is 113443299703. The reversal of 113443299648 is 846992344311.

113443299648 is a `hidden beast` number, since 1 + 1 + 344 + 3 + 299 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 113443299594 and 113443299603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113443299647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4903468 + ... + 4926548.

Almost surely, 2113443299648 is an apocalyptic number.

113443299648 is a gapful number since it is divisible by the number (18) 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 113443299648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197553852288).

113443299648 is an abundant number, since it is smaller than the sum of its proper divisors (281664404928).

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

113443299648 is a wasteful number, since it uses less digits than its factorization.

113443299648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23182 (or 23169 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 113443299648 in words is "one hundred thirteen billion, four hundred forty-three million, two hundred ninety-nine thousand, six hundred forty-eight".