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2000405431656 = 233227783408773
BaseRepresentation
bin11101000111000001011…
…101001000010101101000
321002020101200201220122100
4131013001131020111220
5230233312242303111
64130550142453400
7264344624421402
oct35070135102550
97066350656570
102000405431656
11701404796675
12283837894260
13116839558068
146cb6a669b72
153707d8b5756
hex1d1c1748568

2000405431656 has 24 divisors (see below), whose sum is σ = 5417764710930. Its totient is φ = 666801810528.

The previous prime is 2000405431649. The next prime is 2000405431667. The reversal of 2000405431656 is 6561345040002.

2000405431656 is a `hidden beast` number, since 20 + 0 + 0 + 40 + 543 + 1 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1870783830756 + 129621600900 = 1367766^2 + 360030^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2000405431656.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13891704315 + ... + 13891704458.

Almost surely, 22000405431656 is an apocalyptic number.

It is an amenable number.

2000405431656 is an abundant number, since it is smaller than the sum of its proper divisors (3417359279274).

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

2000405431656 is a wasteful number, since it uses less digits than its factorization.

2000405431656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27783408785 (or 27783408778 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2000405431656 in words is "two trillion, four hundred five million, four hundred thirty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27783408773 55566817546 83350226319 111133635092 166700452638 222267270184 250050678957 333400905276 500101357914 666801810552 1000202715828 2000405431656