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116548076160 = 27325311036337
BaseRepresentation
bin110110010001011001…
…1101000001010000000
3102010211102202201012100
41230202303220022000
53402142301414120
6125312541430400
711264112205335
oct1544263501200
9363742681170
10116548076160
11454783946aa
121a70786b400
13acb4cb1599
1458d8b0098c
153071de3490
hex1b22ce8280

116548076160 has 384 divisors, whose sum is σ = 419537064960. Its totient is φ = 29780213760.

The previous prime is 116548076119. The next prime is 116548076171. The reversal of 116548076160 is 61670845611.

116548076160 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 480 + 7 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18388512 + ... + 18394848.

It is an arithmetic number, because the mean of its divisors is an integer number (1092544440).

Almost surely, 2116548076160 is an apocalyptic number.

116548076160 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 116548076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209768532480).

116548076160 is an abundant number, since it is smaller than the sum of its proper divisors (302988988800).

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

116548076160 is a wasteful number, since it uses less digits than its factorization.

116548076160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6481 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 116548076160 in words is "one hundred sixteen billion, five hundred forty-eight million, seventy-six thousand, one hundred sixty".