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27936463709142 = 23219293190862699
BaseRepresentation
bin1100101101000011101101…
…11111101110001111010110
310122220200220012002220200100
412112201312333232033112
512130202334202143032
6135225500110554530
75612225420334432
oct626416677561726
9118820805086610
1027936463709142
1189a087350958a
123172335208a46
131278521915c01
146c81bc51d9c2
15336a58dbd97c
hex196876fee3d6

27936463709142 has 96 divisors (see below), whose sum is σ = 68037989760000. Its totient is φ = 8243063962560.

The previous prime is 27936463709087. The next prime is 27936463709149. The reversal of 27936463709142 is 24190736463972.

It is a happy number.

27936463709142 is a `hidden beast` number, since 2 + 7 + 9 + 364 + 63 + 70 + 9 + 142 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27936463709142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27936463709149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45123892 + ... + 45738807.

It is an arithmetic number, because the mean of its divisors is an integer number (708729060000).

Almost surely, 227936463709142 is an apocalyptic number.

27936463709142 is an abundant number, since it is smaller than the sum of its proper divisors (40101526050858).

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

27936463709142 is a wasteful number, since it uses less digits than its factorization.

27936463709142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90862786 (or 90862783 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 27936463709142 in words is "twenty-seven trillion, nine hundred thirty-six billion, four hundred sixty-three million, seven hundred nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 29 31 38 57 58 62 87 93 114 171 174 186 261 279 342 522 551 558 589 899 1102 1178 1653 1767 1798 2697 3306 3534 4959 5301 5394 8091 9918 10602 16182 17081 34162 51243 102486 153729 307458 90862699 181725398 272588097 545176194 817764291 1635528582 1726391281 2635018271 2816743669 3452782562 5179173843 5270036542 5633487338 7905054813 8450231007 10358347686 15537521529 15810109626 16900462014 23715164439 25350693021 31075043058 47430328878 50065347149 50701386042 53518129711 81685566401 100130694298 107036259422 150196041447 160554389133 163371132802 245056699203 300392082894 321108778266 450588124341 481663167399 490113398406 735170097609 901176248682 963326334798 1470340195218 1552025761619 3104051523238 4656077284857 9312154569714 13968231854571 27936463709142