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2009639632 = 247113131761
BaseRepresentation
bin111011111001000…
…1010101011010000
312012001111021022111
41313302022223100
513103431432012
6531225315104
7100541440450
oct16762125320
95161437274
102009639632
11941431000
12481035a94
13260470ba0
14150c87d60
15bb668ba7
hex77c8aad0

2009639632 has 320 divisors, whose sum is σ = 5672636928. Its totient is φ = 669081600.

The previous prime is 2009639627. The next prime is 2009639657. The reversal of 2009639632 is 2369369002.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32944882 + ... + 32944942.

Almost surely, 22009639632 is an apocalyptic number.

2009639632 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 2009639632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836318464).

2009639632 is an abundant number, since it is smaller than the sum of its proper divisors (3662997296).

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

2009639632 is a wasteful number, since it uses less digits than its factorization.

2009639632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 40.

The square root of 2009639632 is about 44829.0043610161. The cubic root of 2009639632 is about 1261.9420023695.

The spelling of 2009639632 in words is "two billion, nine million, six hundred thirty-nine thousand, six hundred thirty-two".