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13319296320 = 26351123293161
BaseRepresentation
bin11000110011110010…
…00101010101000000
31021101020121100200010
430121321011111000
5204234214440240
610041354424520
7651031102461
oct143171052500
937336540603
1013319296320
115715439510
1226b8732140
131343597835
14904d22d68
1552e4c3280
hex319e45540

13319296320 has 896 divisors, whose sum is σ = 52248084480. Its totient is φ = 2838528000.

The previous prime is 13319296307. The next prime is 13319296337. The reversal of 13319296320 is 2369291331.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218349090 + ... + 218349150.

Almost surely, 213319296320 is an apocalyptic number.

13319296320 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 13319296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26124042240).

13319296320 is an abundant number, since it is smaller than the sum of its proper divisors (38928788160).

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

13319296320 is a wasteful number, since it uses less digits than its factorization.

13319296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The spelling of 13319296320 in words is "thirteen billion, three hundred nineteen million, two hundred ninety-six thousand, three hundred twenty".