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14495569920 = 2113351337109
BaseRepresentation
bin11011000000000000…
…01101100000000000
31101102012222020201000
431200000031200000
5214141331214140
610354214212000
71022133211536
oct154000154000
941365866630
1014495569920
11616940a257
122986654000
1314a01a2710
149b7238156
1559c8c3a30
hex36000d800

14495569920 has 768 divisors, whose sum is σ = 57513456000. Its totient is φ = 3439853568.

The previous prime is 14495569919. The next prime is 14495569939. The reversal of 14495569920 is 2996559441.

14495569920 is a `hidden beast` number, since 1 + 4 + 495 + 5 + 69 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132986826 + ... + 132986934.

Almost surely, 214495569920 is an apocalyptic number.

14495569920 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 14495569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28756728000).

14495569920 is an abundant number, since it is smaller than the sum of its proper divisors (43017886080).

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

14495569920 is a wasteful number, since it uses less digits than its factorization.

14495569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 14495569920 in words is "fourteen billion, four hundred ninety-five million, five hundred sixty-nine thousand, nine hundred twenty".