Search a number
-
+
27991874211807 = 31123139265323307
BaseRepresentation
bin1100101110101010111011…
…01110000000111111011111
310200002222220211202002122210
412113111131232000333133
512132104324244234212
6135311142310211503
75616226511001432
oct627253556007737
9120088824662583
1027991874211807
118a12318278340
12318101a053b93
1312808125923ac
146cab5764b819
153381ed75553c
hex19755db80fdf

27991874211807 has 32 divisors (see below), whose sum is σ = 42791343114240. Its totient is φ = 16110431140320.

The previous prime is 27991874211803. The next prime is 27991874211811. The reversal of 27991874211807 is 70811247819972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27991874211803) and next prime (27991874211811).

It is not a de Polignac number, because 27991874211807 - 22 = 27991874211803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27991874211803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132556153 + ... + 132767154.

It is an arithmetic number, because the mean of its divisors is an integer number (1337229472320).

Almost surely, 227991874211807 is an apocalyptic number.

27991874211807 is a deficient number, since it is larger than the sum of its proper divisors (14799468902433).

27991874211807 is a wasteful number, since it uses less digits than its factorization.

27991874211807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265323483.

The product of its (nonzero) digits is 28449792, while the sum is 66.

The spelling of 27991874211807 in words is "twenty-seven trillion, nine hundred ninety-one billion, eight hundred seventy-four million, two hundred eleven thousand, eight hundred seven".

Divisors: 1 3 11 23 33 69 139 253 417 759 1529 3197 4587 9591 35167 105501 265323307 795969921 2918556377 6102436061 8755669131 18307308183 36879939673 67126796671 110639819019 201380390013 405679336403 848238612479 1217038009209 2544715837437 9330624737269 27991874211807