Search a number
-
+
27157011336 = 233271313033181
BaseRepresentation
bin11001010010101011…
…110001101110001000
32121002121201010002200
4121102223301232020
5421104143330321
620250433000200
71650655534110
oct312253615610
977077633080
1027157011336
1110576474624
12531a9b3060
13273a395ba0
141458a34040
15a8e24bd26
hex652af1b88

27157011336 has 192 divisors, whose sum is σ = 90621323520. Its totient is φ = 7154542080.

The previous prime is 27157011319. The next prime is 27157011341. The reversal of 27157011336 is 63311075172.

27157011336 is a `hidden beast` number, since 2 + 71 + 570 + 1 + 13 + 3 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27157011336.

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 47 ways as a sum of consecutive naturals, for example, 8535666 + ... + 8538846.

It is an arithmetic number, because the mean of its divisors is an integer number (471986060).

Almost surely, 227157011336 is an apocalyptic number.

27157011336 is a gapful number since it is divisible by the number (26) 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 27157011336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45310661760).

27157011336 is an abundant number, since it is smaller than the sum of its proper divisors (63464312184).

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

27157011336 is a wasteful number, since it uses less digits than its factorization.

27157011336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 27157011336 in words is "twenty-seven billion, one hundred fifty-seven million, eleven thousand, three hundred thirty-six".