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14125694976 = 21635887
BaseRepresentation
bin11010010011111010…
…10000000000000000
31100110102222122200000
431021331100000000
5212412134214401
610253402400000
71010022266121
oct151175200000
940412878600
1014125694976
115a9964a788
1228a2800000
13144167acc3
14980076048
1557a1b1186
hex349f50000

14125694976 has 204 divisors, whose sum is σ = 42366341472. Its totient is φ = 4703256576.

The previous prime is 14125694953. The next prime is 14125695007. The reversal of 14125694976 is 67949652141.

14125694976 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 569 + 4 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15924805 + ... + 15925691.

Almost surely, 214125694976 is an apocalyptic number.

14125694976 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 14125694976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21183170736).

14125694976 is an abundant number, since it is smaller than the sum of its proper divisors (28240646496).

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

14125694976 is an frugal number, since it uses more digits than its factorization.

14125694976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 892 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 14125694976 in words is "fourteen billion, one hundred twenty-five million, six hundred ninety-four thousand, nine hundred seventy-six".