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27407313774 = 23223607109063
BaseRepresentation
bin11001100001100110…
…100110101101101110
32121202001200210111100
4121201212212231232
5422112233020044
620331333503530
71660115215611
oct314146465556
977661623440
1027407313774
1110694794545
12538a7a1ba6
13277a1b3139
14147dd8c178
15aa61e0869
hex6619a6b6e

27407313774 has 48 divisors (see below), whose sum is σ = 62067013632. Its totient is φ = 8724087504.

The previous prime is 27407313761. The next prime is 27407313799. The reversal of 27407313774 is 47731370472.

27407313774 is a `hidden beast` number, since 274 + 0 + 7 + 3 + 1 + 377 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196767 + ... + 305829.

It is an arithmetic number, because the mean of its divisors is an integer number (1293062784).

Almost surely, 227407313774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27407313774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31033506816).

27407313774 is an abundant number, since it is smaller than the sum of its proper divisors (34659699858).

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

27407313774 is a wasteful number, since it uses less digits than its factorization.

27407313774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109701 (or 109698 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 27407313774 in words is "twenty-seven billion, four hundred seven million, three hundred thirteen thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 607 1214 1821 3642 5463 10926 13961 27922 41883 83766 109063 125649 218126 251298 327189 654378 981567 1963134 2508449 5016898 7525347 15050694 22576041 45152082 66201241 132402482 198603723 397207446 595811169 1191622338 1522628543 3045257086 4567885629 9135771258 13703656887 27407313774