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113783863050 = 235521113431523
BaseRepresentation
bin110100111111000001…
…0111111011100001010
3101212200210102010200000
41221332002333130022
53331012132104200
6124134355023430
711135445610104
oct1517602773412
9355623363600
10113783863050
114428a02a460
121a075b9ab76
13a964404320
145715954574
152e5e3c7300
hex1a7e0bf70a

113783863050 has 576 divisors, whose sum is σ = 381356591616. Its totient is φ = 24853651200.

The previous prime is 113783862991. The next prime is 113783863057. The reversal of 113783863050 is 50368387311.

113783863050 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 8 + 3 + 8 + 630 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 113783862987 and 113783863005.

It is not an unprimeable number, because it can be changed into a prime (113783863057) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 74709589 + ... + 74711111.

It is an arithmetic number, because the mean of its divisors is an integer number (662077416).

Almost surely, 2113783863050 is an apocalyptic number.

113783863050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113783863050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190678295808).

113783863050 is an abundant number, since it is smaller than the sum of its proper divisors (267572728566).

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

113783863050 is a wasteful number, since it uses less digits than its factorization.

113783863050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 113783863050 in words is "one hundred thirteen billion, seven hundred eighty-three million, eight hundred sixty-three thousand, fifty".