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2113660080 = 2432572181331
BaseRepresentation
bin111110111111011…
…1110010010110000
312110022020001112200
41331332332102300
513312044110310
6545423023200
7103243546200
oct17576762260
95408201480
102113660080
11995119114
124aba3ab00
13278b9164c
14160a04400
15c58649c0
hex7dfbe4b0

2113660080 has 360 divisors, whose sum is σ = 8327998224. Its totient is φ = 479001600.

The previous prime is 2113660079. The next prime is 2113660097. The reversal of 2113660080 is 800663112.

2113660080 is a `hidden beast` number, since 21 + 1 + 36 + 600 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6385515 + ... + 6385845.

Almost surely, 22113660080 is an apocalyptic number.

2113660080 is a gapful number since it is divisible by the number (20) 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 2113660080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163999112).

2113660080 is an abundant number, since it is smaller than the sum of its proper divisors (6214338144).

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

2113660080 is a wasteful number, since it uses less digits than its factorization.

2113660080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2113660080 is about 45974.5590517190. The cubic root of 2113660080 is about 1283.3498032781.

The spelling of 2113660080 in words is "two billion, one hundred thirteen million, six hundred sixty thousand, eighty".