Search a number
-
+
64735504953432 = 23331709122722267
BaseRepresentation
bin11101011100000011010001…
…10001101111000001011000
322111012122122122102010110120
432232001220301233001120
531441111303232002212
6345403025212113240
716430662106046045
oct1656015061570130
9274178578363416
1064735504953432
111969919a993395
127316211765820
132a176bb835431
1411db30256c1cc
15773dbbb8b88c
hex3ae068c6f058

64735504953432 has 64 divisors (see below), whose sum is σ = 167294995737600. Its totient is φ = 20852967438720.

The previous prime is 64735504953367. The next prime is 64735504953461. The reversal of 64735504953432 is 23435940553746.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60833638 + ... + 61888629.

It is an arithmetic number, because the mean of its divisors is an integer number (2613984308400).

Almost surely, 264735504953432 is an apocalyptic number.

64735504953432 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

64735504953432 is an abundant number, since it is smaller than the sum of its proper divisors (102559490784168).

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

64735504953432 is a wasteful number, since it uses less digits than its factorization.

64735504953432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122723016 (or 122723012 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 60.

The spelling of 64735504953432 in words is "sixty-four trillion, seven hundred thirty-five billion, five hundred four million, nine hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 709 744 1418 2127 2836 4254 5672 8508 17016 21979 43958 65937 87916 131874 175832 263748 527496 122722267 245444534 368166801 490889068 736333602 981778136 1472667204 2945334408 3804390277 7608780554 11413170831 15217561108 22826341662 30435122216 45652683324 87010087303 91305366648 174020174606 261030261909 348040349212 522060523818 696080698424 1044121047636 2088242095272 2697312706393 5394625412786 8091938119179 10789250825572 16183876238358 21578501651144 32367752476716 64735504953432