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2136445983 = 33712139319
BaseRepresentation
bin111111101010111…
…1001010000011111
312111220002200221000
41333111321100133
513333412232413
6551555241343
7103641330330
oct17725712037
95456080830
102136445983
119a6a71541
124b75a9253
1328080bb29
14163a56287
15c7866073
hex7f57941f

2136445983 has 32 divisors (see below), whose sum is σ = 3620633600. Its totient is φ = 1219688928.

The previous prime is 2136445973. The next prime is 2136446021. The reversal of 2136445983 is 3895446312.

2136445983 is a `hidden beast` number, since 2 + 13 + 6 + 44 + 598 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2136445983 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136445933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224598 + ... + 233916.

It is an arithmetic number, because the mean of its divisors is an integer number (113144800).

Almost surely, 22136445983 is an apocalyptic number.

2136445983 is a deficient number, since it is larger than the sum of its proper divisors (1484187617).

2136445983 is a wasteful number, since it uses less digits than its factorization.

2136445983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 10542 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2136445983 is about 46221.7046743194. The cubic root of 2136445983 is about 1287.9449648484.

The spelling of 2136445983 in words is "two billion, one hundred thirty-six million, four hundred forty-five thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 21 27 63 189 1213 3639 8491 9319 10917 25473 27957 32751 65233 76419 83871 195699 229257 251613 587097 1761291 11303947 33911841 79127629 101735523 237382887 305206569 712148661 2136445983