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2137533093 = 326719318367
BaseRepresentation
bin111111101101000…
…0010101010100101
312111222010221011100
41333122002222211
513334202024333
6552034430313
7103653505623
oct17732025245
95458127140
102137533093
119a7644283
124b7a32399
13280acc8a7
14163c5a513
15c79cd213
hex7f682aa5

2137533093 has 24 divisors (see below), whose sum is σ = 3150038528. Its totient is φ = 1396403712.

The previous prime is 2137533071. The next prime is 2137533107. The reversal of 2137533093 is 3903357312.

2137533093 is a `hidden beast` number, since 2 + 1 + 37 + 533 + 0 + 93 = 666.

It is not a de Polignac number, because 2137533093 - 25 = 2137533061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137533043) 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 23 ways as a sum of consecutive naturals, for example, 107196 + ... + 125562.

Almost surely, 22137533093 is an apocalyptic number.

It is an amenable number.

2137533093 is a deficient number, since it is larger than the sum of its proper divisors (1012505435).

2137533093 is a wasteful number, since it uses less digits than its factorization.

2137533093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18633 (or 18630 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 2137533093 is about 46233.4629137814. The cubic root of 2137533093 is about 1288.1633806110.

The spelling of 2137533093 in words is "two billion, one hundred thirty-seven million, five hundred thirty-three thousand, ninety-three".

Divisors: 1 3 9 67 193 201 579 603 1737 12931 18367 38793 55101 116379 165303 1230589 3544831 3691767 10634493 11075301 31903479 237503677 712511031 2137533093