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13997948580 = 223457211172341
BaseRepresentation
bin11010000100101011…
…11011111010100100
31100010112121110120000
431002111323322210
5212131433323310
610233000341300
71003611412500
oct150225737244
940115543500
1013997948580
115a33527a50
122867a74830
131421071215
1496b101300
1556dd7a4c0
hex34257bea4

13997948580 has 1440 divisors, whose sum is σ = 63070140672. Its totient is φ = 2554675200.

The previous prime is 13997948551. The next prime is 13997948593. The reversal of 13997948580 is 8584979931.

13997948580 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 7 + 9 + 48 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 341413360 + ... + 341413400.

Almost surely, 213997948580 is an apocalyptic number.

13997948580 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 13997948580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31535070336).

13997948580 is an abundant number, since it is smaller than the sum of its proper divisors (49072192092).

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

13997948580 is a wasteful number, since it uses less digits than its factorization.

13997948580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 13997948580 in words is "thirteen billion, nine hundred ninety-seven million, nine hundred forty-eight thousand, five hundred eighty".