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13310062080 = 293572113313
BaseRepresentation
bin11000110010101011…
…10110111000000000
31021100121020012200020
430121111312320000
5204224333441310
610040424453440
7650556442500
oct143125667000
937317205606
1013310062080
115710201707
1226b561a280
1313416b36a3
149039dba00
1552d79c170
hex319576e00

13310062080 has 480 divisors, whose sum is σ = 50095213344. Its totient is φ = 3005743104.

The previous prime is 13310062067. The next prime is 13310062123. The reversal of 13310062080 is 8026001331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13310062080.

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, 42524004 + ... + 42524316.

Almost surely, 213310062080 is an apocalyptic number.

13310062080 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 13310062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25047606672).

13310062080 is an abundant number, since it is smaller than the sum of its proper divisors (36785151264).

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

13310062080 is a wasteful number, since it uses less digits than its factorization.

13310062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 13310062080 in words is "thirteen billion, three hundred ten million, sixty-two thousand, eighty".