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14464880478 = 2332933727409
BaseRepresentation
bin11010111100010110…
…01000111101011110
31101100002020001201000
431132023020331132
5214111002133403
610351200331130
71021311312126
oct153613107536
941302201630
1014464880478
116153058884
122978313aa6
131496a18999
149b3129c86
15599d607a3
hex35e2c8f5e

14464880478 has 64 divisors (see below), whose sum is σ = 33352488000. Its totient is φ = 4641380352.

The previous prime is 14464880477. The next prime is 14464880489. The reversal of 14464880478 is 87408846441.

14464880478 is a `hidden beast` number, since 14 + 46 + 48 + 80 + 478 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14464880471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514038 + ... + 541446.

It is an arithmetic number, because the mean of its divisors is an integer number (521132625).

Almost surely, 214464880478 is an apocalyptic number.

14464880478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14464880478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676244000).

14464880478 is an abundant number, since it is smaller than the sum of its proper divisors (18887607522).

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

14464880478 is a wasteful number, since it uses less digits than its factorization.

14464880478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27786 (or 27780 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 14464880478 in words is "fourteen billion, four hundred sixty-four million, eight hundred eighty thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 337 522 674 783 1011 1566 2022 3033 6066 9099 9773 18198 19546 27409 29319 54818 58638 82227 87957 164454 175914 246681 263871 493362 527742 740043 794861 1480086 1589722 2384583 4769166 7153749 9236833 14307498 18473666 21461247 27710499 42922494 55420998 83131497 166262994 249394491 267868157 498788982 535736314 803604471 1607208942 2410813413 4821626826 7232440239 14464880478