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113450595840 = 29365313753
BaseRepresentation
bin110100110101000101…
…1101011011000000000
3101211211120022102000000
41221222023223120000
53324321323031330
6124041332000000
711124261103431
oct1515213533000
9354746272000
10113450595840
11441289a390a
1219ba2460000
13a9103593aa
1456c35a1488
152e3eee6560
hex1a6a2eb600

113450595840 has 1120 divisors, whose sum is σ = 440528875776. Its totient is φ = 27948810240.

The previous prime is 113450595827. The next prime is 113450595847. The reversal of 113450595840 is 48595054311.

It is a happy number.

113450595840 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 50 + 595 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113450595847) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2140577254 + ... + 2140577306.

Almost surely, 2113450595840 is an apocalyptic number.

113450595840 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 113450595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220264437888).

113450595840 is an abundant number, since it is smaller than the sum of its proper divisors (327078279936).

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

113450595840 is an frugal number, since it uses more digits than its factorization.

113450595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 113450595840 in words is "one hundred thirteen billion, four hundred fifty million, five hundred ninety-five thousand, eight hundred forty".