Search a number
-
+
162427071774 = 23112239393493
BaseRepresentation
bin1001011101000101101…
…0000110110100011110
3120112020211012011120010
42113101122012310132
510130122312244044
6202341251504050
714510044221132
oct2272132066436
9515224164503
10162427071774
1162980936100
12275905b8026
1312417043776
147c0bdbd3c2
154359aaebb9
hex25d1686d1e

162427071774 has 48 divisors (see below), whose sum is σ = 357224119056. Its totient is φ = 49199230080.

The previous prime is 162427071773. The next prime is 162427071787. The reversal of 162427071774 is 477170724261.

162427071774 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1624270717742 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162427071773) by changing a digit.

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, 1690572 + ... + 1784064.

It is an arithmetic number, because the mean of its divisors is an integer number (7442169147).

Almost surely, 2162427071774 is an apocalyptic number.

162427071774 is an abundant number, since it is smaller than the sum of its proper divisors (194797047282).

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

162427071774 is a wasteful number, since it uses less digits than its factorization.

162427071774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95913 (or 95902 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 48.

The spelling of 162427071774 in words is "one hundred sixty-two billion, four hundred twenty-seven million, seventy-one thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 2393 4786 7179 14358 26323 52646 78969 93493 157938 186986 280479 289553 560958 579106 868659 1028423 1737318 2056846 3085269 6170538 11312653 22625306 33937959 67875918 223728749 447457498 671186247 1342372494 2461016239 4922032478 7383048717 14766097434 27071178629 54142357258 81213535887 162427071774