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115097493672 = 23347532112269
BaseRepresentation
bin110101100110001011…
…0000110000010101000
3102000002100020111010000
41223030112012002220
53341204424244142
6124513002423000
711213136361020
oct1531426060250
9360070214100
10115097493672
11448a35975a7
121a381b01a60
13ab13602555
1457dc1c2a80
152ed98ab14c
hex1acc5860a8

115097493672 has 320 divisors, whose sum is σ = 377330659200. Its totient is φ = 32097461760.

The previous prime is 115097493671. The next prime is 115097493673. The reversal of 115097493672 is 276394790511.

115097493672 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 97 + 493 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (115097493671) and next prime (115097493673).

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

It is not an unprimeable number, because it can be changed into a prime (115097493671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50724954 + ... + 50727222.

It is an arithmetic number, because the mean of its divisors is an integer number (1179158310).

Almost surely, 2115097493672 is an apocalyptic number.

115097493672 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 115097493672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188665329600).

115097493672 is an abundant number, since it is smaller than the sum of its proper divisors (262233165528).

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

115097493672 is a wasteful number, since it uses less digits than its factorization.

115097493672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 115097493672 in words is "one hundred fifteen billion, ninety-seven million, four hundred ninety-three thousand, six hundred seventy-two".