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14164118784 = 28341935951
BaseRepresentation
bin11010011000011111…
…10100110100000000
31100120010021210020000
431030033310310000
5213002003300114
610301254120000
71011000010644
oct151417646400
940503253200
1014164118784
1160093040a2
1228b3650000
13144961229a
149851d8c24
1557d750e09
hex34c3f4d00

14164118784 has 180 divisors, whose sum is σ = 44458962240. Its totient is φ = 4472755200.

The previous prime is 14164118779. The next prime is 14164118789. The reversal of 14164118784 is 48781146141.

It is an interprime number because it is at equal distance from previous prime (14164118779) and next prime (14164118789).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164118789) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 376009 + ... + 411959.

Almost surely, 214164118784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14164118784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22229481120).

14164118784 is an abundant number, since it is smaller than the sum of its proper divisors (30294843456).

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

14164118784 is an equidigital number, since it uses as much as digits as its factorization.

14164118784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35998 (or 35975 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The spelling of 14164118784 in words is "fourteen billion, one hundred sixty-four million, one hundred eighteen thousand, seven hundred eighty-four".