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2137767696 = 243238532
BaseRepresentation
bin111111101101011…
…1011111100010000
312111222120211222100
41333122323330100
513334232031241
6552043440400
7103655503611
oct17732737420
95458524870
102137767696
119a7794569
124b7b26100
13280b825cc
14163cbbc08
15c7a279b6
hex7f6bbf10

2137767696 has 45 divisors (see below), whose sum is σ = 5984333589. Its totient is φ = 712404288.

The previous prime is 2137767679. The next prime is 2137767701. The reversal of 2137767696 is 6967677312.

The square root of 2137767696 is 46236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2117840400 + 19927296 = 46020^2 + 4464^2 .

It is a super-2 number, since 2×21377676962 = 9140101444122296832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 552906 + ... + 556758.

Almost surely, 22137767696 is an apocalyptic number.

2137767696 is the 46236-th square number.

It is an amenable number.

2137767696 is an abundant number, since it is smaller than the sum of its proper divisors (3846565893).

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

2137767696 is an frugal number, since it uses more digits than its factorization.

2137767696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7720 (or 3858 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The cubic root of 2137767696 is about 1288.2105059536.

The spelling of 2137767696 in words is "two billion, one hundred thirty-seven million, seven hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3853 7706 11559 15412 23118 30824 34677 46236 61648 69354 92472 138708 184944 277416 554832 14845609 29691218 44536827 59382436 89073654 118764872 133610481 178147308 237529744 267220962 356294616 534441924 712589232 1068883848 2137767696