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2332049664 = 28371721979
BaseRepresentation
bin1000101100000000…
…0100000100000000
320000112011101201210
42023000010010000
514234001042124
61023223530120
7111535044420
oct21300040400
96015141653
102332049664
11a9742147a
12550bb9940
132b21b7059
14181a12480
15d9b02a29
hex8b004100

2332049664 has 432 divisors, whose sum is σ = 8032102400. Its totient is φ = 586579968.

The previous prime is 2332049641. The next prime is 2332049711. The reversal of 2332049664 is 4669402332.

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, 29519577 + ... + 29519655.

Almost surely, 22332049664 is an apocalyptic number.

2332049664 is a gapful number since it is divisible by the number (24) 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 2332049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016051200).

2332049664 is an abundant number, since it is smaller than the sum of its proper divisors (5700052736).

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

2332049664 is a wasteful number, since it uses less digits than its factorization.

2332049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 2332049664 is about 48291.3000860403. The cubic root of 2332049664 is about 1326.1091297429.

The spelling of 2332049664 in words is "two billion, three hundred thirty-two million, forty-nine thousand, six hundred sixty-four".