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14107173864 = 2337137612929
BaseRepresentation
bin11010010001101101…
…00110001111101000
31100102011010200110220
431020312212033220
5212342414030424
610251501410040
71006405666530
oct151066461750
940364120426
1014107173864
115a8a14a583
122898569920
13143a894a74
1497b8144c0
15578753579
hex348da63e8

14107173864 has 64 divisors (see below), whose sum is σ = 40600483200. Its totient is φ = 4001193984.

The previous prime is 14107173863. The next prime is 14107173881. The reversal of 14107173864 is 46837170141.

14107173864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14107173863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283449 + ... + 329480.

It is an arithmetic number, because the mean of its divisors is an integer number (634382550).

Almost surely, 214107173864 is an apocalyptic number.

14107173864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14107173864 is an abundant number, since it is smaller than the sum of its proper divisors (26493309336).

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

14107173864 is a wasteful number, since it uses less digits than its factorization.

14107173864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613082 (or 613078 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 14107173864 in words is "fourteen billion, one hundred seven million, one hundred seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3836 5754 7672 11508 23016 612929 1225858 1838787 2451716 3677574 4290503 4903432 7355148 8581006 12871509 14710296 17162012 25743018 34324024 51486036 83971273 102972072 167942546 251913819 335885092 503827638 587798911 671770184 1007655276 1175597822 1763396733 2015310552 2351195644 3526793466 4702391288 7053586932 14107173864