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115716349632 = 263132173167101
BaseRepresentation
bin110101111000100111…
…0110101111011000000
3102001200110201121220010
41223301032311323000
53343441341142012
6125054230544520
711234362512552
oct1536116657300
9361613647803
10115716349632
1145090954204
121a515208140
13abb18a0900
14585a4774d2
153023da0c3c
hex1af13b5ec0

115716349632 has 672 divisors, whose sum is σ = 371403823104. Its totient is φ = 31629312000.

The previous prime is 115716349627. The next prime is 115716349673. The reversal of 115716349632 is 236943617511.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1145706382 + ... + 1145706482.

Almost surely, 2115716349632 is an apocalyptic number.

115716349632 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 115716349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185701911552).

115716349632 is an abundant number, since it is smaller than the sum of its proper divisors (255687473472).

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

115716349632 is a wasteful number, since it uses less digits than its factorization.

115716349632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The spelling of 115716349632 in words is "one hundred fifteen billion, seven hundred sixteen million, three hundred forty-nine thousand, six hundred thirty-two".