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110399342592 = 21137211173753
BaseRepresentation
bin110011011010001010…
…0000100100000000000
3101112221220211200102110
41212310110010200000
53302044212430332
6122414453015320
710655540633400
oct1466424044000
9345856750373
10110399342592
1142902607110
1219490624540
13a54516b1b6
1454b4256800
152d121cb4cc
hex19b4504800

110399342592 has 1152 divisors, whose sum is σ = 413827989120. Its totient is φ = 25763512320.

The previous prime is 110399342429. The next prime is 110399342611. The reversal of 110399342592 is 295243993011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2083006438 + ... + 2083006490.

It is an arithmetic number, because the mean of its divisors is an integer number (359225685).

Almost surely, 2110399342592 is an apocalyptic number.

110399342592 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 110399342592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206913994560).

110399342592 is an abundant number, since it is smaller than the sum of its proper divisors (303428646528).

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

110399342592 is a wasteful number, since it uses less digits than its factorization.

110399342592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 110399342592 in words is "one hundred ten billion, three hundred ninety-nine million, three hundred forty-two thousand, five hundred ninety-two".