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13166665020 = 2234510180471
BaseRepresentation
bin11000100001100101…
…10101110100111100
31020222121101212220000
430100302311310330
5203431131240040
610014303154300
7644165543325
oct142062656474
936877355800
1013166665020
11564726a343
1226755a5990
13131aa87062
148cc95144c
15520dc4130
hex310cb5d3c

13166665020 has 120 divisors (see below), whose sum is σ = 41713787808. Its totient is φ = 3476304000.

The previous prime is 13166664961. The next prime is 13166665033. The reversal of 13166665020 is 2056666131.

13166665020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131666650202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123385 + ... + 203855.

Almost surely, 213166665020 is an apocalyptic number.

13166665020 is a gapful number since it is divisible by the number (10) 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 13166665020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20856893904).

13166665020 is an abundant number, since it is smaller than the sum of its proper divisors (28547122788).

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

13166665020 is a wasteful number, since it uses less digits than its factorization.

13166665020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80593 (or 80582 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13166665020 in words is "thirteen billion, one hundred sixty-six million, six hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 270 303 324 404 405 505 540 606 810 909 1010 1212 1515 1620 1818 2020 2727 3030 3636 4545 5454 6060 8181 9090 10908 13635 16362 18180 27270 32724 40905 54540 80471 81810 160942 163620 241413 321884 402355 482826 724239 804710 965652 1207065 1448478 1609420 2172717 2414130 2896956 3621195 4345434 4828260 6518151 7242390 8127571 8690868 10863585 13036302 14484780 16255142 21727170 24382713 26072604 32510284 32590755 40637855 43454340 48765426 65181510 73148139 81275710 97530852 121913565 130363020 146296278 162551420 219444417 243827130 292592556 365740695 438888834 487654260 658333251 731481390 877777668 1097222085 1316666502 1462962780 2194444170 2633333004 3291666255 4388888340 6583332510 13166665020