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113008896000 = 2113253731113
BaseRepresentation
bin110100100111111011…
…0101110100000000000
3101210200210011201201200
41221033312232200000
53322420234133000
6123525432501200
711110315524000
oct1511766564000
9353623151650
10113008896000
1143a21637220
1219a9a54a800
13a86c9a7640
145680a64000
152e16347500
hex1a4fdae800

113008896000 has 2304 divisors, whose sum is σ = 558073152000. Its totient is φ = 21676032000.

The previous prime is 113008895981. The next prime is 113008896001. The reversal of 113008896000 is 698800311.

113008896000 is a `hidden beast` number, since 11 + 30 + 0 + 8 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-4 number, since 4×1130088960004 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 7000 × 6552 × 2464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113008896001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8692991994 + ... + 8692992006.

It is an arithmetic number, because the mean of its divisors is an integer number (242219250).

Almost surely, 2113008896000 is an apocalyptic number.

113008896000 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 113008896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279036576000).

113008896000 is an abundant number, since it is smaller than the sum of its proper divisors (445064256000).

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

113008896000 is a wasteful number, since it uses less digits than its factorization.

113008896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 113008896000 in words is "one hundred thirteen billion, eight million, eight hundred ninety-six thousand".