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14486945958 = 233674219511
BaseRepresentation
bin11010111110111110…
…10100000010100110
31101101121202002212000
431133133110002212
5214132124232313
610353305310130
71022000003022
oct153737240246
941347662760
1014486945958
116164559a11
122983795346
13149b473294
149b6031382
1559bc6d673
hex35f7d40a6

14486945958 has 64 divisors (see below), whose sum is σ = 32754762240. Its totient is φ = 4745109600.

The previous prime is 14486945951. The next prime is 14486946013. The reversal of 14486945958 is 85954968441.

14486945958 is a `hidden beast` number, since 1 + 448 + 6 + 94 + 59 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14486945895 and 14486945904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14486945951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518423 + ... + 1527933.

It is an arithmetic number, because the mean of its divisors is an integer number (511793160).

Almost surely, 214486945958 is an apocalyptic number.

14486945958 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 14486945958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16377381120).

14486945958 is an abundant number, since it is smaller than the sum of its proper divisors (18267816282).

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

14486945958 is a wasteful number, since it uses less digits than its factorization.

14486945958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 10004 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 14486945958 in words is "fourteen billion, four hundred eighty-six million, nine hundred forty-five thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 421 603 842 1206 1263 1809 2526 3618 3789 7578 9511 11367 19022 22734 28207 28533 56414 57066 84621 85599 169242 171198 253863 256797 507726 513594 637237 761589 1274474 1523178 1911711 3823422 4004131 5735133 8008262 11470266 12012393 17205399 24024786 34410798 36037179 72074358 108111537 216223074 268276777 536553554 804830331 1609660662 2414490993 4828981986 7243472979 14486945958