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13147464000 = 263531149801
BaseRepresentation
bin11000011111010011…
…00110000101000000
31020221021021101001010
430033221212011000
5203411222322000
610012335440520
7643543412556
oct141751460500
936837241033
1013147464000
115637445330
12266b086140
131316ac34c8
148ca193bd6
1551e37ed50
hex30fa66140

13147464000 has 224 divisors, whose sum is σ = 47360506752. Its totient is φ = 3187200000.

The previous prime is 13147463981. The next prime is 13147464037. The reversal of 13147464000 is 46474131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239100 + ... + 288900.

Almost surely, 213147464000 is an apocalyptic number.

13147464000 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 13147464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23680253376).

13147464000 is an abundant number, since it is smaller than the sum of its proper divisors (34213042752).

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

13147464000 is a wasteful number, since it uses less digits than its factorization.

13147464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49842 (or 49822 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 13147464000 in words is "thirteen billion, one hundred forty-seven million, four hundred sixty-four thousand".