Search a number
-
+
9975809742 = 231928095693
BaseRepresentation
bin10010100101001101…
…01100011011001110
3221202020020122022220
421102212230123032
5130412301402432
64325520120210
7502131661263
oct112246543316
927666218286
109975809742
11425a0a2568
121b24a66066
13c2c99aa02
146a8c6726a
153d5bd072c
hex2529ac6ce

9975809742 has 48 divisors (see below), whose sum is σ = 21086704080. Its totient is φ = 3145809024.

The previous prime is 9975809719. The next prime is 9975809747. The reversal of 9975809742 is 2479085799.

9975809742 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975809747) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1749448 + ... + 1755140.

It is an arithmetic number, because the mean of its divisors is an integer number (439306335).

Almost surely, 29975809742 is an apocalyptic number.

9975809742 is an abundant number, since it is smaller than the sum of its proper divisors (11110894338).

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

9975809742 is a wasteful number, since it uses less digits than its factorization.

9975809742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The square root of 9975809742 is about 99878.9754753221. The cubic root of 9975809742 is about 2152.6960763270.

The spelling of 9975809742 in words is "nine billion, nine hundred seventy-five million, eight hundred nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 19 38 57 114 361 722 809 1083 1618 2166 2427 4854 5693 11386 15371 17079 30742 34158 46113 92226 108167 216334 292049 324501 584098 649002 876147 1752294 2055173 4110346 4605637 6165519 9211274 12331038 13816911 27633822 87507103 175014206 262521309 525042618 1662634957 3325269914 4987904871 9975809742