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2153331993 = 37911717759
BaseRepresentation
bin1000000001011001…
…0011110100011001
312120001212121011210
42000112103310121
513402223110433
6553401213333
7104235006561
oct20026236431
95501777153
102153331993
11a0555521a
12501191249
13284171a57
14165dadda1
15c909e463
hex80593d19

2153331993 has 16 divisors (see below), whose sum is σ = 2910310400. Its totient is φ = 1415990160.

The previous prime is 2153331989. The next prime is 2153332033. The reversal of 2153331993 is 3991333512.

It is not a de Polignac number, because 2153331993 - 22 = 2153331989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2153331913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273648 + ... + 281406.

It is an arithmetic number, because the mean of its divisors is an integer number (181894400).

Almost surely, 22153331993 is an apocalyptic number.

It is an amenable number.

2153331993 is a deficient number, since it is larger than the sum of its proper divisors (756978407).

2153331993 is a wasteful number, since it uses less digits than its factorization.

2153331993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012.

The product of its digits is 65610, while the sum is 39.

The square root of 2153331993 is about 46404.0083721223. The cubic root of 2153331993 is about 1291.3292775761.

The spelling of 2153331993 in words is "two billion, one hundred fifty-three million, three hundred thirty-one thousand, nine hundred ninety-three".

Divisors: 1 3 79 237 1171 3513 7759 23277 92509 277527 612961 1838883 9085789 27257367 717777331 2153331993