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113464092672 = 2113273131137
BaseRepresentation
bin110100110101011111…
…1001010100000000000
3101211212111201010011200
41221222333022200000
53324333301431142
6124042533141200
711124513606000
oct1515277124000
9354774633150
10113464092672
1144135582217
1219ba6a8a800
13a9130a3798
1456c52b6000
152e412b064c
hex1a6afca800

113464092672 has 576 divisors, whose sum is σ = 387891504000. Its totient is φ = 31936020480.

The previous prime is 113464092671. The next prime is 113464092691. The reversal of 113464092672 is 276290464311.

113464092672 is a `hidden beast` number, since 1 + 1 + 346 + 40 + 9 + 267 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (113464092671) 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, 828204988 + ... + 828205124.

It is an arithmetic number, because the mean of its divisors is an integer number (673422750).

Almost surely, 2113464092672 is an apocalyptic number.

113464092672 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 113464092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193945752000).

113464092672 is an abundant number, since it is smaller than the sum of its proper divisors (274427411328).

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

113464092672 is a wasteful number, since it uses less digits than its factorization.

113464092672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 113464092672 in words is "one hundred thirteen billion, four hundred sixty-four million, ninety-two thousand, six hundred seventy-two".