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2131992576 = 21337717
BaseRepresentation
bin111111100010011…
…1010000000000000
312111120201110000000
41333010322000000
513331242230301
6551320000000
7103555431540
oct17704720000
95446643000
102131992576
119a44aa63a
124b6000000
1327c90ca8c
14163217320
15c7286786
hex7f13a000

2131992576 has 448 divisors, whose sum is σ = 7738018560. Its totient is φ = 573308928.

The previous prime is 2131992539. The next prime is 2131992617. The reversal of 2131992576 is 6752991312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125411320 + ... + 125411336.

Almost surely, 22131992576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131992576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869009280).

2131992576 is an abundant number, since it is smaller than the sum of its proper divisors (5606025984).

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

2131992576 is an frugal number, since it uses more digits than its factorization.

2131992576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 29 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 2131992576 is about 46173.5051301068. The cubic root of 2131992576 is about 1287.0494381713.

The spelling of 2131992576 in words is "two billion, one hundred thirty-one million, nine hundred ninety-two thousand, five hundred seventy-six".