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21488705295072 = 2533895233109961
BaseRepresentation
bin1001110001011001110101…
…01001010101001011100000
32211002022002211010011222120
410320230322221111023200
510304032332023420242
6113411435215104240
74345336102160361
oct470547251251340
984068084104876
1021488705295072
116935343a25444
1224b07a3b12080
13bcb4b770a092
145440b7821b68
15273e8587b1ec
hex138b3aa552e0

21488705295072 has 96 divisors (see below), whose sum is σ = 56564180094240. Its totient is φ = 7143057899520.

The previous prime is 21488705295061. The next prime is 21488705295089. The reversal of 21488705295072 is 27059250788412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21488705294997 and 21488705295015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195366172 + ... + 195476132.

It is an arithmetic number, because the mean of its divisors is an integer number (589210209315).

Almost surely, 221488705295072 is an apocalyptic number.

It is an amenable number.

21488705295072 is an abundant number, since it is smaller than the sum of its proper divisors (35075474799168).

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

21488705295072 is a wasteful number, since it uses less digits than its factorization.

21488705295072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115596 (or 115588 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 21488705295072 in words is "twenty-one trillion, four hundred eighty-eight billion, seven hundred five million, two hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 389 778 1167 1556 2334 3112 4668 5233 6224 9336 10466 12448 15699 18672 20932 31398 37344 41864 62796 83728 109961 125592 167456 219922 251184 329883 439844 502368 659766 879688 1319532 1759376 2035637 2639064 3518752 4071274 5278128 6106911 8142548 10556256 12213822 16285096 24427644 32570192 42774829 48855288 65140384 85549658 97710576 128324487 171099316 195421152 256648974 342198632 513297948 575425913 684397264 1026595896 1150851826 1368794528 1726277739 2053191792 2301703652 3452555478 4106383584 4603407304 6905110956 9206814608 13810221912 18413629216 27620443824 55240887648 223840680157 447681360314 671522040471 895362720628 1343044080942 1790725441256 2686088161884 3581450882512 5372176323768 7162901765024 10744352647536 21488705295072