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2137610496 = 28372431321
BaseRepresentation
bin111111101101001…
…0101100100000000
312111222021212100010
41333122111210000
513334212013441
6552040224520
7103654250400
oct17732254400
95458255303
102137610496
119a769744a
124b7a6b140
13280b28ba8
14163c7a800
15c79e6116
hex7f695900

2137610496 has 216 divisors, whose sum is σ = 6777037344. Its totient is φ = 596090880.

The previous prime is 2137610467. The next prime is 2137610537. The reversal of 2137610496 is 6940167312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1617516 + ... + 1618836.

Almost surely, 22137610496 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 2137610496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388518672).

2137610496 is an abundant number, since it is smaller than the sum of its proper divisors (4639426848).

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

2137610496 is a wasteful number, since it uses less digits than its factorization.

2137610496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2137610496 is about 46234.2999947009. The cubic root of 2137610496 is about 1288.1789291432.

The spelling of 2137610496 in words is "two billion, one hundred thirty-seven million, six hundred ten thousand, four hundred ninety-six".