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21420755167 = 7711572711013
BaseRepresentation
bin10011111100110001…
…101100100011011111
32001021211221002221111
4103330301230203133
5322332203131132
613501321042451
71355553262150
oct237461544337
961254832844
1021420755167
1190a2504449
124199926427
132034b42476
141072c7b927
15855860647
hex4fcc6c8df

21420755167 has 32 divisors (see below), whose sum is σ = 25100734464. Its totient is φ = 17902684800.

The previous prime is 21420755159. The next prime is 21420755179. The reversal of 21420755167 is 76155702412.

21420755167 is an astonishing number since 21420755167 = 55167 + ... + 214207.

It is not a de Polignac number, because 21420755167 - 23 = 21420755159 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 (21420755567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21145353 + ... + 21146365.

It is an arithmetic number, because the mean of its divisors is an integer number (784397952).

Almost surely, 221420755167 is an apocalyptic number.

21420755167 is a deficient number, since it is larger than the sum of its proper divisors (3679979297).

21420755167 is a wasteful number, since it uses less digits than its factorization.

21420755167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519.

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 21420755167 in words is "twenty-one billion, four hundred twenty million, seven hundred fifty-five thousand, one hundred sixty-seven".

Divisors: 1 7 71 157 271 497 1013 1099 1897 7091 11147 19241 42547 71923 78029 134687 159041 274523 297829 503461 1113287 1921661 3020837 11291911 19491133 21145859 43100111 79043377 136437931 301700777 3060107881 21420755167