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13580173156 = 2211252972
BaseRepresentation
bin11001010010111000…
…01111111101100100
31022001102111021102011
430221130033331210
5210303011020111
610123314124004
7660346365364
oct145134177544
938042437364
1013580173156
115839721100
12276bb80604
131385647c24
1492b8309a4
15547355021
hex32970ff64

13580173156 has 27 divisors (see below), whose sum is σ = 26127125017. Its totient is φ = 6171640640.

The previous prime is 13580173151. The next prime is 13580173207. The reversal of 13580173156 is 65137108531.

The square root of 13580173156 is 116534.

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

It can be written as a sum of positive squares in only one way, i.e., 11081772900 + 2498400256 = 105270^2 + 49984^2 .

It is a super-2 number, since 2×135801731562 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13580173151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2561100 + ... + 2566396.

Almost surely, 213580173156 is an apocalyptic number.

13580173156 is the 116534-th square number.

It is an amenable number.

13580173156 is a deficient number, since it is larger than the sum of its proper divisors (12546951861).

13580173156 is an frugal number, since it uses more digits than its factorization.

13580173156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10620 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 13580173156 in words is "thirteen billion, five hundred eighty million, one hundred seventy-three thousand, one hundred fifty-six".

Divisors: 1 2 4 11 22 44 121 242 484 5297 10594 21188 58267 116534 233068 640937 1281874 2563748 28058209 56116418 112232836 308640299 617280598 1234561196 3395043289 6790086578 13580173156