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13986191232 = 2732132192199
BaseRepresentation
bin11010000011010010…
…00101011110000000
31100002201111010111200
431001221011132000
5212120431104412
610231500341200
71003406443506
oct150151053600
940081433450
1013986191232
115a27927532
122863b44800
13141b7b5800
14969720676
1556cd069dc
hex341a45780

13986191232 has 432 divisors, whose sum is σ = 46226349000. Its totient is φ = 4056459264.

The previous prime is 13986191231. The next prime is 13986191249. The reversal of 13986191232 is 23219168931.

It is a happy number.

13986191232 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 619 + 1 + 23 + 2 = 666.

It is a super-2 number, since 2×139861912322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13986191231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 70282269 + ... + 70282467.

Almost surely, 213986191232 is an apocalyptic number.

13986191232 is a gapful number since it is divisible by the number (12) 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 13986191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23113174500).

13986191232 is an abundant number, since it is smaller than the sum of its proper divisors (32240157768).

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

13986191232 is a wasteful number, since it uses less digits than its factorization.

13986191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 236 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 13986191232 in words is "thirteen billion, nine hundred eighty-six million, one hundred ninety-one thousand, two hundred thirty-two".