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13264676020 = 22517233167441
BaseRepresentation
bin11000101101010001…
…01110010010110100
31021020102211100201001
430112220232102310
5204131224113040
610032124013044
7646465612561
oct142650562264
937212740631
1013264676020
115697622472
1226a2391184
13133518242b
148db985868
155297d459a
hex316a2e4b4

13264676020 has 48 divisors (see below), whose sum is σ = 29621159568. Its totient is φ = 4972298240.

The previous prime is 13264676011. The next prime is 13264676023. The reversal of 13264676020 is 2067646231.

It can be written as a sum of positive squares in 8 ways, for example, as 300120976 + 12964555044 = 17324^2 + 113862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264676023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501 + ... + 162940.

It is an arithmetic number, because the mean of its divisors is an integer number (617107491).

Almost surely, 213264676020 is an apocalyptic number.

13264676020 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 13264676020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810579784).

13264676020 is an abundant number, since it is smaller than the sum of its proper divisors (16356483548).

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

13264676020 is a wasteful number, since it uses less digits than its factorization.

13264676020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167700 (or 167698 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 13264676020 in words is "thirteen billion, two hundred sixty-four million, six hundred seventy-six thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 233 340 466 932 1165 2330 3961 4660 7922 15844 19805 39610 79220 167441 334882 669764 837205 1674410 2846497 3348820 5692994 11385988 14232485 28464970 39013753 56929940 78027506 156055012 195068765 390137530 663233801 780275060 1326467602 2652935204 3316169005 6632338010 13264676020