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115464555423360 = 2735511213236307
BaseRepresentation
bin11010010000001110101111…
…110011110110011010000000
3120010211022012101122120100000
4122100032233303312122000
5110113232402142021420
61045323403503200000
733215016215314263
oct3220165763663200
9503738171576300
10115464555423360
1133877274422100
1210b49979ba6000
134c57351141500
14207272b354cda
15d53770e6a690
hex6903afcf6680

115464555423360 has 1728 divisors, whose sum is σ = 492150433451040. Its totient is φ = 25837510533120.

The previous prime is 115464555423359. The next prime is 115464555423397. The reversal of 115464555423360 is 63324555464511.

115464555423360 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 6 + 4 + 5 + 5 + 542 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×1154645554233602 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 115464555423297 and 115464555423306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3180210327 + ... + 3180246633.

Almost surely, 2115464555423360 is an apocalyptic number.

115464555423360 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 115464555423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246075216725520).

115464555423360 is an abundant number, since it is smaller than the sum of its proper divisors (376685878027680).

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

115464555423360 is a wasteful number, since it uses less digits than its factorization.

115464555423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36389 (or 36341 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 115464555423360 in words is "one hundred fifteen trillion, four hundred sixty-four billion, five hundred fifty-five million, four hundred twenty-three thousand, three hundred sixty".