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14195869696 = 21159311689
BaseRepresentation
bin11010011100010001…
…11100100000000000
31100122100000220021201
431032020330200000
5213033120312241
610304350430544
71011533621131
oct151610744000
940570026251
1014195869696
116025220018
122902202454
13145307b1c8
14989501c88
15581423931
hex34e23c800

14195869696 has 48 divisors (see below), whose sum is σ = 28435106700. Its totient is φ = 7085359104.

The previous prime is 14195869691. The next prime is 14195869739. The reversal of 14195869696 is 69696859141.

It can be written as a sum of positive squares in 2 ways, for example, as 11998135296 + 2197734400 = 109536^2 + 46880^2 .

It is a super-2 number, since 2×141958696962 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (14195869691) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1208620 + ... + 1220308.

Almost surely, 214195869696 is an apocalyptic number.

14195869696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14195869696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217553350).

14195869696 is an abundant number, since it is smaller than the sum of its proper divisors (14239237004).

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

14195869696 is an equidigital number, since it uses as much as digits as its factorization.

14195869696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12304 (or 12284 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 64.

The spelling of 14195869696 in words is "fourteen billion, one hundred ninety-five million, eight hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 593 1024 1186 2048 2372 4744 9488 11689 18976 23378 37952 46756 75904 93512 151808 187024 303616 374048 607232 748096 1214464 1496192 2992384 5984768 6931577 11969536 13863154 23939072 27726308 55452616 110905232 221810464 443620928 887241856 1774483712 3548967424 7097934848 14195869696