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13209918372 = 2235743163277
BaseRepresentation
bin11000100110101111…
…10101101110100100
31021002121210101100000
430103113311232210
5204023214341442
610022450221300
7645232311360
oct142327655644
937077711300
1013209918372
115669722212
122687b84830
131326a1c661
148d45b02a0
15524ab9d4c
hex3135f5ba4

13209918372 has 288 divisors, whose sum is σ = 40891282432. Its totient is φ = 3650645376.

The previous prime is 13209918349. The next prime is 13209918443. The reversal of 13209918372 is 27381990231.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 47689098 + ... + 47689374.

Almost surely, 213209918372 is an apocalyptic number.

13209918372 is a gapful number since it is divisible by the number (12) 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 13209918372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445641216).

13209918372 is an abundant number, since it is smaller than the sum of its proper divisors (27681364060).

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

13209918372 is a wasteful number, since it uses less digits than its factorization.

13209918372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 13209918372 in words is "thirteen billion, two hundred nine million, nine hundred eighteen thousand, three hundred seventy-two".