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13321974336 = 26311192101173
BaseRepresentation
bin11000110100000110…
…10011001001000000
31021101102122102012220
430122003103021000
5204240411134321
610041532051040
7651062625216
oct143203231100
937342572186
1013321974336
1157169a8550
1226b9603a80
131343cc4768
1490541ccb6
1552e8519c6
hex31a0d3240

13321974336 has 336 divisors, whose sum is σ = 41221078848. Its totient is φ = 3764736000.

The previous prime is 13321974329. The next prime is 13321974349. The reversal of 13321974336 is 63347912331.

It is a congruent number.

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, 77005546 + ... + 77005718.

Almost surely, 213321974336 is an apocalyptic number.

13321974336 is a gapful number since it is divisible by the number (16) 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 13321974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610539424).

13321974336 is an abundant number, since it is smaller than the sum of its proper divisors (27899104512).

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

13321974336 is a wasteful number, since it uses less digits than its factorization.

13321974336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 309 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The spelling of 13321974336 in words is "thirteen billion, three hundred twenty-one million, nine hundred seventy-four thousand, three hundred thirty-six".