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113173247952 = 2434173653773
BaseRepresentation
bin110100101100110100…
…1101011011111010000
3101211010020102200020000
41221121221223133100
53323234322413302
6123554023250000
711114352510132
oct1513151533720
9354106380200
10113173247952
1143aa6391286
1219b255a9900
13a897a5cc0b
145698807052
152e259ae31c
hex1a59a6b7d0

113173247952 has 200 divisors, whose sum is σ = 330380968104. Its totient is φ = 37400472576.

The previous prime is 113173247921. The next prime is 113173247963. The reversal of 113173247952 is 259742371311.

113173247952 is a `hidden beast` number, since 1 + 1 + 3 + 173 + 2 + 479 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5709918096 + 107463329856 = 75564^2 + 327816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113173247898 and 113173247907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146407438 + ... + 146408210.

Almost surely, 2113173247952 is an apocalyptic number.

113173247952 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 113173247952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165190484052).

113173247952 is an abundant number, since it is smaller than the sum of its proper divisors (217207720152).

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

113173247952 is a wasteful number, since it uses less digits than its factorization.

113173247952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1604 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 113173247952 in words is "one hundred thirteen billion, one hundred seventy-three million, two hundred forty-seven thousand, nine hundred fifty-two".