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2002116794832 = 2432711274322093
BaseRepresentation
bin11101001000100111011…
…101011101100111010000
321002101210221222011120200
4131020213131131213100
5230300313344413312
64131432035135200
7264435214651410
oct35104735354720
97071727864520
102002116794832
11702102810100
12284034a44500
13116a4cc827ab
146cc8da6c640
153712dc610dc
hex1d22775d9d0

2002116794832 has 360 divisors, whose sum is σ = 7048455453312. Its totient is φ = 519306923520.

The previous prime is 2002116794803. The next prime is 2002116794891. The reversal of 2002116794832 is 2384976112002.

2002116794832 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 1 + 167 + 9 + 483 + 2 = 666.

It is a congruent number.

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, 90611178 + ... + 90633270.

Almost surely, 22002116794832 is an apocalyptic number.

2002116794832 is a gapful number since it is divisible by the number (22) 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 2002116794832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524227726656).

2002116794832 is an abundant number, since it is smaller than the sum of its proper divisors (5046338658480).

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

2002116794832 is a wasteful number, since it uses less digits than its factorization.

2002116794832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22879 (or 22859 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2002116794832 in words is "two trillion, two billion, one hundred sixteen million, seven hundred ninety-four thousand, eight hundred thirty-two".