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115332960000000 = 211357241997
BaseRepresentation
bin11010001110010100001100…
…000111001001100000000000
3120010100201112021122102022010
4122032110030013021200000
5110104103400230000000
61045143121432412520
733202350156551001
oct3216241407114000
9503321467572263
10115332960000000
1133826485217876
1210b28372b47140
134c47b0b8770b2
14206a2060271a8
15d5011d00dd50
hex68e50c1c9800

115332960000000 has 768 divisors, whose sum is σ = 386330268804480. Its totient is φ = 30597120000000.

The previous prime is 115332959999953. The next prime is 115332960000007. The reversal of 115332960000000 is 69233511.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115332960000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115679999502 + ... + 115680000498.

Almost surely, 2115332960000000 is an apocalyptic number.

115332960000000 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 115332960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193165134402240).

115332960000000 is an abundant number, since it is smaller than the sum of its proper divisors (270997308804480).

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

115332960000000 is an frugal number, since it uses more digits than its factorization.

115332960000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 115332960000000 in words is "one hundred fifteen trillion, three hundred thirty-two billion, nine hundred sixty million", and thus it is an aban number.