Search a number
-
+
14435127648 = 253252819491
BaseRepresentation
bin11010111000110011…
…01001000101100000
31101021000020110111100
431130121221011200
5214030343041043
610344214514400
71020500363154
oct153431510540
941230213440
1014435127648
116138287067
12296a365a00
1314907cc366
149ad1c3064
15597434cd3
hex35c669160

14435127648 has 72 divisors (see below), whose sum is σ = 41061993336. Its totient is φ = 4810291200.

The previous prime is 14435127643. The next prime is 14435127661. The reversal of 14435127648 is 84672153441.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14435127643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1516183 + ... + 1525673.

It is an arithmetic number, because the mean of its divisors is an integer number (570305463).

Almost surely, 214435127648 is an apocalyptic number.

14435127648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14435127648 is an abundant number, since it is smaller than the sum of its proper divisors (26626865688).

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

14435127648 is a wasteful number, since it uses less digits than its factorization.

14435127648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14788 (or 14777 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 14435127648 in words is "fourteen billion, four hundred thirty-five million, one hundred twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5281 9491 10562 15843 18982 21124 28473 31686 37964 42248 47529 56946 63372 75928 84496 85419 95058 113892 126744 151856 168992 170838 190116 227784 253488 303712 341676 380232 455568 506976 683352 760464 911136 1366704 1520928 2733408 50121971 100243942 150365913 200487884 300731826 400975768 451097739 601463652 801951536 902195478 1202927304 1603903072 1804390956 2405854608 3608781912 4811709216 7217563824 14435127648