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96880527360 = 2113352943281
BaseRepresentation
bin101101000111010000…
…1111000100000000000
3100021001202210201021000
41122032201320200000
53041402403333420
6112301205532000
76666534616041
oct1321641704000
9307052721230
1096880527360
11380a5594141
1216939114000
13919c457346
144990a388c8
1527c0446690
hex168e878800

96880527360 has 768 divisors, whose sum is σ = 365837472000. Its totient is φ = 24277155840.

The previous prime is 96880527349. The next prime is 96880527371. The reversal of 96880527360 is 6372508869.

It is a happy number.

96880527360 is a `hidden beast` number, since 9 + 6 + 8 + 80 + 527 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96880527349) and next prime (96880527371).

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 96880527297 and 96880527306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344770420 + ... + 344770700.

It is an arithmetic number, because the mean of its divisors is an integer number (476350875).

Almost surely, 296880527360 is an apocalyptic number.

96880527360 is a gapful number since it is divisible by the number (90) 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 96880527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182918736000).

96880527360 is an abundant number, since it is smaller than the sum of its proper divisors (268956944640).

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

96880527360 is a wasteful number, since it uses less digits than its factorization.

96880527360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 96880527360 in words is "ninety-six billion, eight hundred eighty million, five hundred twenty-seven thousand, three hundred sixty".