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21756616161 = 3737157178349
BaseRepresentation
bin10100010000110010…
…111001110111100001
32002011020220121121120
4110100302321313201
5324024143204121
613554515442453
71400102120550
oct242062716741
962136817546
1021756616161
119255051815
1242722b6429
1320895b7b97
1410a5707d97
158750a4bc6
hex510cb9de1

21756616161 has 32 divisors (see below), whose sum is σ = 34266028800. Its totient is φ = 12019228416.

The previous prime is 21756616157. The next prime is 21756616163. The reversal of 21756616161 is 16161665712.

It is a happy number.

It is not a de Polignac number, because 21756616161 - 22 = 21756616157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21756616163) 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 31 ways as a sum of consecutive naturals, for example, 32815 + ... + 211163.

It is an arithmetic number, because the mean of its divisors is an integer number (1070813400).

Almost surely, 221756616161 is an apocalyptic number.

21756616161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21756616161 is a deficient number, since it is larger than the sum of its proper divisors (12509412639).

21756616161 is a wasteful number, since it uses less digits than its factorization.

21756616161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178553.

The product of its digits is 90720, while the sum is 42.

The spelling of 21756616161 in words is "twenty-one billion, seven hundred fifty-six million, six hundred sixteen thousand, one hundred sixty-one".

Divisors: 1 3 7 21 37 111 157 259 471 777 1099 3297 5809 17427 40663 121989 178349 535047 1248443 3745329 6598913 19796739 28000793 46192391 84002379 138577173 196005551 588016653 1036029341 3108088023 7252205387 21756616161