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14106603264 = 283131724889
BaseRepresentation
bin11010010001101000…
…11010111100000000
31100102010001200202120
431020310122330000
5212342242301024
610251441244240
71006401102135
oct151064327400
940363050676
1014106603264
115a8989a906
122898333680
13143a725130
1497b70658c
1557868e479
hex348d1af00

14106603264 has 216 divisors, whose sum is σ = 42959197680. Its totient is φ = 4084334592.

The previous prime is 14106603229. The next prime is 14106603307. The reversal of 14106603264 is 46230660141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2882932 + ... + 2887820.

Almost surely, 214106603264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21479598840).

14106603264 is an abundant number, since it is smaller than the sum of its proper divisors (28852594416).

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

14106603264 is a wasteful number, since it uses less digits than its factorization.

14106603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 14106603264 in words is "fourteen billion, one hundred six million, six hundred three thousand, two hundred sixty-four".