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20146679721 = 36727512
BaseRepresentation
bin10010110000110101…
…011110111110101001
31221000001112101000000
4102300311132332221
5312230022222341
613131045133213
71312152644400
oct226065367651
957001471000
1020146679721
1185a9303733
123aa30ba209
131b90bb347c
14d91988637
157cda918b6
hex4b0d5efa9

20146679721 has 63 divisors (see below), whose sum is σ = 35184676653. Its totient is φ = 11497059000.

The previous prime is 20146679699. The next prime is 20146679741. The reversal of 20146679721 is 12797664102.

The square root of 20146679721 is 141939.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 20146679721 - 213 = 20146671529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20146679741) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 26826096 + ... + 26826846.

It is an arithmetic number, because the mean of its divisors is an integer number (558486931).

Almost surely, 220146679721 is an apocalyptic number.

20146679721 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20146679721 is the 141939-th square number.

20146679721 is the 70970-th centered octagonal number.

It is an amenable number.

20146679721 is a deficient number, since it is larger than the sum of its proper divisors (15037996932).

20146679721 is an frugal number, since it uses more digits than its factorization.

20146679721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 20146679721 in words is "twenty billion, one hundred forty-six million, six hundred seventy-nine thousand, seven hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 751 1323 1701 2253 3969 5103 5257 6759 11907 15771 20277 35721 36799 47313 60831 110397 141939 182493 331191 425817 547479 564001 993573 1277451 1692003 2980719 3832353 3948007 5076009 8942157 11844021 15228027 26826471 27636049 35532063 45684081 82908147 106596189 137052243 248724441 319788567 411156729 746173323 959365701 2238519969 2878097103 6715559907 20146679721