Search a number
-
+
934429510764 = 2232311675013787
BaseRepresentation
bin11011001100100000101…
…01101100110001101100
310022022220222222110001200
431212100111230301230
5110302202423321024
61553134311205500
7124340014534641
oct15462025546154
93268828873050
10934429510764
11330320109922
12131122676890
136a168747599
1433325c2bdc8
151948ee6d2c9
hexd99056cc6c

934429510764 has 72 divisors (see below), whose sum is σ = 2452825310208. Its totient is φ = 299623851360.

The previous prime is 934429510747. The next prime is 934429510783. The reversal of 934429510764 is 467015924439.

934429510764 is a `hidden beast` number, since 9 + 3 + 44 + 29 + 510 + 7 + 64 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 934429510764.

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, 2320522 + ... + 2693265.

Almost surely, 2934429510764 is an apocalyptic number.

It is an amenable number.

934429510764 is an abundant number, since it is smaller than the sum of its proper divisors (1518395799444).

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

934429510764 is a wasteful number, since it uses less digits than its factorization.

934429510764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013995 (or 5013990 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 934429510764 in words is "nine hundred thirty-four billion, four hundred twenty-nine million, five hundred ten thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 167 186 279 334 372 501 558 668 1002 1116 1503 2004 3006 5177 6012 10354 15531 20708 31062 46593 62124 93186 186372 5013787 10027574 15041361 20055148 30082722 45124083 60165444 90248166 155427397 180496332 310854794 466282191 621709588 837302429 932564382 1398846573 1674604858 1865128764 2511907287 2797693146 3349209716 5023814574 5595386292 7535721861 10047629148 15071443722 25956375299 30142887444 51912750598 77869125897 103825501196 155738251794 233607377691 311476503588 467214755382 934429510764