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13209912000 = 263353232659
BaseRepresentation
bin11000100110101111…
…10100001011000000
31021002121210001121000
430103113310023000
5204023214141000
610022450132000
7645232253655
oct142327641300
937077701530
1013209912000
11566971844a
122687b81000
131326a1979c
148d45abc2c
15524ab8000
hex3135f42c0

13209912000 has 448 divisors, whose sum is σ = 50591923200. Its totient is φ = 3368217600.

The previous prime is 13209911993. The next prime is 13209912041. The reversal of 13209912000 is 21990231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4966671 + ... + 4969329.

It is an arithmetic number, because the mean of its divisors is an integer number (112928400).

Almost surely, 213209912000 is an apocalyptic number.

13209912000 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 13209912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25295961600).

13209912000 is an abundant number, since it is smaller than the sum of its proper divisors (37382011200).

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

13209912000 is a wasteful number, since it uses less digits than its factorization.

13209912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 13209912000 in words is "thirteen billion, two hundred nine million, nine hundred twelve thousand".