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13927491900 = 223252737149401
BaseRepresentation
bin11001111100010010…
…01010100100111100
31022221122000220011100
430332021022210330
5212010414220100
610222002253100
71002064504440
oct147611124474
938848026140
1013927491900
1159a7784893
122848357190
13140c5a288a
14961a00820
15567aae400
hex33e24a93c

13927491900 has 432 divisors, whose sum is σ = 51712315200. Its totient is φ = 3068928000.

The previous prime is 13927491883. The next prime is 13927491911. The reversal of 13927491900 is 919472931.

13927491900 is a `hidden beast` number, since 1 + 392 + 74 + 9 + 190 + 0 = 666.

13927491900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×139274919002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34731700 + ... + 34732100.

Almost surely, 213927491900 is an apocalyptic number.

13927491900 is a gapful number since it is divisible by the number (10) 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 13927491900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25856157600).

13927491900 is an abundant number, since it is smaller than the sum of its proper divisors (37784823300).

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

13927491900 is a wasteful number, since it uses less digits than its factorization.

13927491900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 13927491900 in words is "thirteen billion, nine hundred twenty-seven million, four hundred ninety-one thousand, nine hundred".