Search a number
-
+
13573980000 = 2536547219
BaseRepresentation
bin11001010010001001…
…00111111101100000
31022000222211122000000
430221010213331200
5210244414330000
610122533300000
7660242632500
oct145104477540
938028748000
1013573980000
115836181099
122769a94600
13138428a039
1492aa9ba00
15546a30000
hex329127f60

13573980000 has 1260 divisors, whose sum is σ = 61307922060. Its totient is φ = 2939328000.

The previous prime is 13573979959. The next prime is 13573980011. The reversal of 13573980000 is 8937531.

13573980000 is a `hidden beast` number, since 1 + 3 + 573 + 9 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 714419991 + ... + 714420009.

It is an arithmetic number, because the mean of its divisors is an integer number (48657081).

Almost surely, 213573980000 is an apocalyptic number.

13573980000 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 13573980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30653961030).

13573980000 is an abundant number, since it is smaller than the sum of its proper divisors (47733942060).

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

13573980000 is an frugal number, since it uses more digits than its factorization.

13573980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13573980000 in words is "thirteen billion, five hundred seventy-three million, nine hundred eighty thousand".