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113583709344 = 2537315992413
BaseRepresentation
bin110100111001000011…
…1011101110010100000
3101212011211210021101210
41221302013131302200
53330104412144334
6124102445030120
711130465412440
oct1516207356240
9355154707353
10113583709344
1144197051a76
121a01ab55340
13a931ac5091
1456d7132120
152e4ba3c5e9
hex1a721ddca0

113583709344 has 192 divisors, whose sum is σ = 357708718080. Its totient is φ = 30873000960.

The previous prime is 113583709307. The next prime is 113583709363. The reversal of 113583709344 is 443907385311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 113583709293 and 113583709302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182882 + ... + 1275294.

It is an arithmetic number, because the mean of its divisors is an integer number (1863066240).

Almost surely, 2113583709344 is an apocalyptic number.

113583709344 is a gapful number since it is divisible by the number (14) 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 113583709344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178854359040).

113583709344 is an abundant number, since it is smaller than the sum of its proper divisors (244125008736).

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

113583709344 is a wasteful number, since it uses less digits than its factorization.

113583709344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92523 (or 92515 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 113583709344 in words is "one hundred thirteen billion, five hundred eighty-three million, seven hundred nine thousand, three hundred forty-four".