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21893929614 = 2333129574423
BaseRepresentation
bin10100011000111110…
…101101101010001110
32002111211021212021000
4110120332231222032
5324314321221424
614020302521130
71403360221404
oct243076555216
962454255230
1021893929614
119315609407
1242b02961a6
1320abb9444b
1410b9a4d474
1588217a3c9
hex518fada8e

21893929614 has 64 divisors (see below), whose sum is σ = 50250977280. Its totient is φ = 7058573280.

The previous prime is 21893929591. The next prime is 21893929643. The reversal of 21893929614 is 41692939812.

21893929614 is a `hidden beast` number, since 2 + 18 + 9 + 3 + 9 + 2 + 9 + 614 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4947807 + ... + 4952229.

It is an arithmetic number, because the mean of its divisors is an integer number (785171520).

Almost surely, 221893929614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21893929614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25125488640).

21893929614 is an abundant number, since it is smaller than the sum of its proper divisors (28357047666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21893929614 is a wasteful number, since it uses less digits than its factorization.

21893929614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7416 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 21893929614 in words is "twenty-one billion, eight hundred ninety-three million, nine hundred twenty-nine thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2957 4423 5914 8846 8871 13269 17742 26538 26613 39807 53226 79614 79839 91667 119421 137113 159678 183334 238842 274226 275001 411339 550002 822678 825003 1234017 1650006 2468034 2475009 3702051 4950018 7404102 13078811 26157622 39236433 78472866 117709299 235418598 353127897 405443141 706255794 810886282 1216329423 2432658846 3648988269 7297976538 10946964807 21893929614