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13094784000 = 2103553421
BaseRepresentation
bin11000011001000001…
…01000110000000000
31020210121010221200000
430030200220300000
5203304231042000
610003214400000
7642333553554
oct141440506000
936717127600
1013094784000
11560a734041
122655500000
131308c0a2cc
148c319d864
15519926000
hex30c828c00

13094784000 has 528 divisors, whose sum is σ = 49051949856. Its totient is φ = 3483648000.

The previous prime is 13094783993. The next prime is 13094784037. The reversal of 13094784000 is 48749031.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31103790 + ... + 31104210.

Almost surely, 213094784000 is an apocalyptic number.

13094784000 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 13094784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24525974928).

13094784000 is an abundant number, since it is smaller than the sum of its proper divisors (35957165856).

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

13094784000 is an frugal number, since it uses more digits than its factorization.

13094784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13094784000 in words is "thirteen billion, ninety-four million, seven hundred eighty-four thousand".