Search a number
-
+
90780600366 = 2339729535869
BaseRepresentation
bin101010010001011110…
…0100000100000101110
322200022122201022112000
41110202330200200232
52441404313202431
6105412023153130
76362425241241
oct1244274404056
9280278638460
1090780600366
1135555311765
12157162a57a6
1387397720a1
144572857258
152564b709e6
hex1522f2082e

90780600366 has 64 divisors (see below), whose sum is σ = 203918164800. Its totient is φ = 29932996608.

The previous prime is 90780600347. The next prime is 90780600373. The reversal of 90780600366 is 66300608709.

90780600366 is a `hidden beast` number, since 9 + 0 + 7 + 8 + 0 + 600 + 36 + 6 = 666.

It is a super-2 number, since 2×907806003662 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15464880 + ... + 15470748.

It is an arithmetic number, because the mean of its divisors is an integer number (3186221325).

Almost surely, 290780600366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90780600366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101959082400).

90780600366 is an abundant number, since it is smaller than the sum of its proper divisors (113137564434).

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

90780600366 is a wasteful number, since it uses less digits than its factorization.

90780600366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8930 (or 8924 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90780600366 in words is "ninety billion, seven hundred eighty million, six hundred thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 2953 5238 5869 5906 8859 11738 17607 17718 26577 35214 52821 53154 79731 105642 158463 159462 286441 316926 569293 572882 859323 1138586 1707879 1718646 2577969 3415758 5123637 5155938 7733907 10247274 15370911 15467814 17331157 30741822 34662314 51993471 103986942 155980413 311960826 467941239 935882478 1681122229 3362244458 5043366687 10086733374 15130100061 30260200122 45390300183 90780600366