Search a number
-
+
268842807127 = 3150929095857
BaseRepresentation
bin1111101001100001000…
…1111010111101010111
3221200221010011122011201
43322120101322331113
513401042224312002
6323301002213331
725265114104336
oct3723021727527
9850833148151
10268842807127
11a4019835124
124412aab4247
131c475aac7cb
14d02514bd1d
156ed71a3087
hex3e9847af57

268842807127 has 16 divisors (see below), whose sum is σ = 278203449600. Its totient is φ = 259525739520.

The previous prime is 268842807049. The next prime is 268842807133. The reversal of 268842807127 is 721708248862.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-268842807127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268842807157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45898183 + ... + 45904039.

It is an arithmetic number, because the mean of its divisors is an integer number (17387715600).

Almost surely, 2268842807127 is an apocalyptic number.

268842807127 is a deficient number, since it is larger than the sum of its proper divisors (9360642473).

268842807127 is a wasteful number, since it uses less digits than its factorization.

268842807127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9306.

The product of its (nonzero) digits is 4816896, while the sum is 55.

The spelling of 268842807127 in words is "two hundred sixty-eight billion, eight hundred forty-two million, eight hundred seven thousand, one hundred twenty-seven".

Divisors: 1 31 509 2909 5857 15779 90179 181567 1480681 2981213 17038013 45901111 92417603 528178403 8672348617 268842807127