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21398363151696 = 24327316712189299
BaseRepresentation
bin1001101110110001100011…
…10101011001110101010000
32210202122220201102210101100
410313120301311121311100
510301042321431323241
6113302134453304400
74335660246501306
oct467306165316520
983678821383340
1021398363151696
1168aaaa4165a33
122497190635100
13bc2b1aa529cb
1453d987300276
152719494689b6
hex137631d59d50

21398363151696 has 120 divisors (see below), whose sum is σ = 61069563172800. Its totient is φ = 6992951505408.

The previous prime is 21398363151677. The next prime is 21398363151721. The reversal of 21398363151696 is 69615136389312.

21398363151696 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 83 + 6 + 31 + 516 + 9 + 6 = 666.

It is a super-2 number, since 2×213983631516962 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4339146 + ... + 7850153.

It is an arithmetic number, because the mean of its divisors is an integer number (508913026440).

Almost surely, 221398363151696 is an apocalyptic number.

It is an amenable number.

21398363151696 is an abundant number, since it is smaller than the sum of its proper divisors (39671200021104).

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

21398363151696 is a wasteful number, since it uses less digits than its factorization.

21398363151696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12189553 (or 12189544 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 21398363151696 in words is "twenty-one trillion, three hundred ninety-eight billion, three hundred sixty-three million, one hundred fifty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 167 219 292 334 438 501 584 657 668 876 1002 1168 1314 1336 1503 1752 2004 2628 2672 3006 3504 4008 5256 6012 8016 10512 12024 12191 24048 24382 36573 48764 73146 97528 109719 146292 195056 219438 292584 438876 585168 877752 1755504 12189299 24378598 36567897 48757196 73135794 97514392 109703691 146271588 195028784 219407382 292543176 438814764 585086352 877629528 889818827 1755259056 1779637654 2035612933 2669456481 3559275308 4071225866 5338912962 6106838799 7118550616 8008369443 8142451732 10677825924 12213677598 14237101232 16016738886 16284903464 18320516397 21355651848 24427355196 32033477772 32569806928 36641032794 42711303696 48854710392 64066955544 73282065588 97709420784 128133911088 146564131176 148599744109 293128262352 297199488218 445799232327 594398976436 891598464654 1188797952872 1337397696981 1783196929308 2377595905744 2674795393962 3566393858616 5349590787924 7132787717232 10699181575848 21398363151696