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14465456052 = 22319122727803
BaseRepresentation
bin11010111100011010…
…10101011110110100
31101100010022022020120
431132031111132310
5214111124043202
610351220531540
71021316230155
oct153615253664
941303268216
1014465456052
116153411263
122978550bb0
131496b8a968
149b323992c
15599e260bc
hex35e3557b4

14465456052 has 48 divisors (see below), whose sum is σ = 34080141312. Its totient is φ = 4775271520.

The previous prime is 14465455919. The next prime is 14465456053. The reversal of 14465456052 is 25065456441.

It is a super-3 number, since 3×144654560523 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14465455995 and 14465456013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14465456053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506383 + ... + 534185.

It is an arithmetic number, because the mean of its divisors is an integer number (710002944).

Almost surely, 214465456052 is an apocalyptic number.

14465456052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14465456052 is an abundant number, since it is smaller than the sum of its proper divisors (19614685260).

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

14465456052 is a wasteful number, since it uses less digits than its factorization.

14465456052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28228 (or 28226 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 14465456052 in words is "fourteen billion, four hundred sixty-five million, four hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 12 191 227 382 454 573 681 764 908 1146 1362 2292 2724 27803 43357 55606 83409 86714 111212 130071 166818 173428 260142 333636 520284 5310373 6311281 10620746 12622562 15931119 18933843 21241492 25245124 31862238 37867686 63724476 75735372 1205454671 2410909342 3616364013 4821818684 7232728026 14465456052