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20933549231 = 7192531491049
BaseRepresentation
bin10011011111101111…
…001001110010101111
32000000220011111001012
4103133233021302233
5320332442033411
613341114335435
71340516142530
oct233757116257
960026144035
1020933549231
118972496411
12408272a57b
131c87c1992a
141028296687
15827bc318b
hex4dfbc9caf

20933549231 has 48 divisors (see below), whose sum is σ = 25923240000. Its totient is φ = 16550217216.

The previous prime is 20933549227. The next prime is 20933549251. The reversal of 20933549231 is 13294533902.

It is a happy number.

It is not a de Polignac number, because 20933549231 - 22 = 20933549227 is a prime.

It is a super-2 number, since 2×209335492312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20933549201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19955195 + ... + 19956243.

It is an arithmetic number, because the mean of its divisors is an integer number (540067500).

Almost surely, 220933549231 is an apocalyptic number.

20933549231 is a deficient number, since it is larger than the sum of its proper divisors (4989690769).

20933549231 is a wasteful number, since it uses less digits than its factorization.

20933549231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 20933549231 in words is "twenty billion, nine hundred thirty-three million, five hundred forty-nine thousand, two hundred thirty-one".

Divisors: 1 7 19 53 133 149 361 371 1007 1043 1049 2527 2831 7049 7343 7897 19133 19817 19931 53789 55279 55597 133931 139517 150043 156301 376523 378689 389179 1050301 1056343 1094107 2650823 2850817 2969719 7394401 8283953 19955719 20070517 20788033 56424661 57987671 140493619 157395107 394972627 1101765749 2990507033 20933549231