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13173071076 = 2232112372472
BaseRepresentation
bin11000100010010110…
…10001110011100100
31021000001110100100100
430101023101303210
5203434301233301
610015052344100
7644304154014
oct142113216344
937001410310
1013173071076
11564a945300
122677775030
13131c1bab19
148cd73bc44
1552173c286
hex3112d1ce4

13173071076 has 243 divisors, whose sum is σ = 38434274697. Its totient is φ = 3801314880.

The previous prime is 13173071059. The next prime is 13173071111. The reversal of 13173071076 is 67017037131.

The square root of 13173071076 is 114774.

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., 11787444900 + 1385626176 = 108570^2 + 37224^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13173071076.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 280278085 + ... + 280278131.

Almost surely, 213173071076 is an apocalyptic number.

13173071076 is the 114774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13173071076

13173071076 is an abundant number, since it is smaller than the sum of its proper divisors (25261203621).

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

13173071076 is a wasteful number, since it uses less digits than its factorization.

13173071076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

Multiplying 13173071076 by its sum of digits (36), we get a square (474230558736 = 6886442).

13173071076 divided by its sum of digits (36) gives a square (365918641 = 191292).

The spelling of 13173071076 in words is "thirteen billion, one hundred seventy-three million, seventy-one thousand, seventy-six".