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2137697328 = 243133425797
BaseRepresentation
bin111111101101010…
…1010110000110000
312111222110021110010
41333122222300300
513334222303303
6552042134520
7103655061504
oct17732526060
95458407403
102137697328
119a7746708
124b7ab1440
13280b59580
14163ca0304
15c7a11c03
hex7f6aac30

2137697328 has 40 divisors (see below), whose sum is σ = 5947185328. Its totient is φ = 657752832.

The previous prime is 2137697327. The next prime is 2137697347. The reversal of 2137697328 is 8237967312.

It is a super-2 number, since 2×21376973282 = 9139499732276679168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2137697327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1712275 + ... + 1713522.

Almost surely, 22137697328 is an apocalyptic number.

It is an amenable number.

2137697328 is an abundant number, since it is smaller than the sum of its proper divisors (3809488000).

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

2137697328 is a wasteful number, since it uses less digits than its factorization.

2137697328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425821 (or 3425815 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 2137697328 is about 46235.2390282564. The cubic root of 2137697328 is about 1288.1963713041.

The spelling of 2137697328 in words is "two billion, one hundred thirty-seven million, six hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3425797 6851594 10277391 13703188 20554782 27406376 41109564 44535361 54812752 82219128 89070722 133606083 164438256 178141444 267212166 356282888 534424332 712565776 1068848664 2137697328