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24772040016668 = 22723433732398273
BaseRepresentation
bin1011010000111101100001…
…01001010100001100011100
310020201011222001122121222022
411220132300221110030130
511221331114221013133
6124404041301035312
75134502146630460
oct550366051241434
9106634861577868
1024772040016668
11799084386905a
122940ba20b5b38
1310a8cbb50c3a9
14618d8a3cc4a0
152ce59e673998
hex1687b0a5431c

24772040016668 has 96 divisors (see below), whose sum is σ = 53042299892736. Its totient is φ = 9892238856192.

The previous prime is 24772040016629. The next prime is 24772040016677. The reversal of 24772040016668 is 86661004027742.

It is a super-2 number, since 2×247720400166682 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9129980 + ... + 11528252.

It is an arithmetic number, because the mean of its divisors is an integer number (552523957216).

Almost surely, 224772040016668 is an apocalyptic number.

24772040016668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24772040016668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26521149946368).

24772040016668 is an abundant number, since it is smaller than the sum of its proper divisors (28270259876068).

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

24772040016668 is a wasteful number, since it uses less digits than its factorization.

24772040016668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398723 (or 2398721 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 53.

The spelling of 24772040016668 in words is "twenty-four trillion, seven hundred seventy-two billion, forty million, sixteen thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 43 46 86 92 161 172 301 322 373 602 644 746 989 1204 1492 1978 2611 3956 5222 6923 8579 10444 13846 16039 17158 27692 32078 34316 60053 64156 112273 120106 224546 240212 368897 449092 737794 1475588 2398273 2582279 4796546 5164558 9593092 10329116 16787911 33575822 55160279 67151644 103125739 110320558 206251478 220641116 386121953 412502956 721880173 772243906 894555829 1443760346 1544487812 1789111658 2371891997 2887520692 3578223316 4743783994 6261890803 9487567988 12523781606 16603243979 20574784067 25047563212 33206487958 38465900647 41149568134 66412975916 76931801294 82299136268 144023488469 153863602588 269261304529 288046976938 538522609058 576093953876 884715714881 1077045218116 1769431429762 3538862859524 6193010004167 12386020008334 24772040016668