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104269149936 = 2436717431747
BaseRepresentation
bin110000100011011101…
…1001111011011110000
3100222010200210122000000
41201012323033123300
53202020400244221
6115522305430000
710350613102530
oct1410673173360
9328120718000
10104269149936
1140247242696
121825b63b300
139aa911a073
1450920374c0
152aa3e27e26
hex1846ecf6f0

104269149936 has 560 divisors, whose sum is σ = 375265338624. Its totient is φ = 27371022336.

The previous prime is 104269149931. The next prime is 104269150049. The reversal of 104269149936 is 639941962401.

It is a happy number.

104269149936 is a `hidden beast` number, since 1 + 0 + 426 + 91 + 49 + 93 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104269149931) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 59683815 + ... + 59685561.

Almost surely, 2104269149936 is an apocalyptic number.

104269149936 is a gapful number since it is divisible by the number (16) 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 104269149936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187632669312).

104269149936 is an abundant number, since it is smaller than the sum of its proper divisors (270996188688).

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

104269149936 is a wasteful number, since it uses less digits than its factorization.

104269149936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 104269149936 in words is "one hundred four billion, two hundred sixty-nine million, one hundred forty-nine thousand, nine hundred thirty-six".