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13985733492 = 2232537330049
BaseRepresentation
bin11010000011001110…
…10101101101110100
31100002200121212121100
431001213111231310
5212120321432432
610231442450100
71003402526133
oct150147255564
940080555540
1013985733492
115a27644635
122863963930
13141b685363
1496964191a
1556cc6607c
hex3419d5b74

13985733492 has 36 divisors (see below), whose sum is σ = 36019865700. Its totient is φ = 4573949952.

The previous prime is 13985733481. The next prime is 13985733493. The reversal of 13985733492 is 29433758931.

13985733492 is a `hidden beast` number, since 1 + 3 + 9 + 85 + 73 + 3 + 492 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11099465316 + 2886268176 = 105354^2 + 53724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985733493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3663117 + ... + 3666932.

It is an arithmetic number, because the mean of its divisors is an integer number (1000551825).

Almost surely, 213985733492 is an apocalyptic number.

13985733492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13985733492 is an abundant number, since it is smaller than the sum of its proper divisors (22034132208).

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

13985733492 is a wasteful number, since it uses less digits than its factorization.

13985733492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7330112 (or 7330107 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 13985733492 in words is "thirteen billion, nine hundred eighty-five million, seven hundred thirty-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 7330049 14660098 21990147 29320196 43980294 65970441 87960588 131940882 263881764 388492597 776985194 1165477791 1553970388 2330955582 3496433373 4661911164 6992866746 13985733492