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21314906613 = 32711213215087
BaseRepresentation
bin10011110110011101…
…111010100111110101
32001000110202110000200
4103312131322213311
5322123104002423
613443020231113
71353126500610
oct236635724765
961013673020
1021314906613
119048788900
12416a39b499
132018c318a0
141062ba7177
1584b402d43
hex4f677a9f5

21314906613 has 72 divisors (see below), whose sum is σ = 41651361024. Its totient is φ = 10220886720.

The previous prime is 21314906581. The next prime is 21314906617. The reversal of 21314906613 is 31660941312.

21314906613 is a `hidden beast` number, since 2 + 1 + 31 + 4 + 9 + 0 + 6 + 613 = 666.

It is not a de Polignac number, because 21314906613 - 25 = 21314906581 is a prime.

It is a super-2 number, since 2×213149066132 (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 (21314906617) 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 71 ways as a sum of consecutive naturals, for example, 8445 + ... + 206642.

Almost surely, 221314906613 is an apocalyptic number.

It is an amenable number.

21314906613 is a deficient number, since it is larger than the sum of its proper divisors (20336454411).

21314906613 is a wasteful number, since it uses less digits than its factorization.

21314906613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215135 (or 215121 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 21314906613 in words is "twenty-one billion, three hundred fourteen million, nine hundred six thousand, six hundred thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 121 143 231 273 363 429 693 819 847 1001 1089 1287 1573 2541 3003 4719 7623 9009 11011 14157 33033 99099 215087 645261 1505609 1935783 2365957 2796131 4516827 7097871 8388393 13550481 16561699 19572917 21293613 25165179 26025527 30757441 49685097 58718751 78076581 92272323 149055291 176156253 182178689 215302087 234229743 276816969 338331851 546536067 645906261 1014995553 1639608201 1937718783 2368322957 3044986659 7104968871 21314906613