Search a number
-
+
83783385225 = 32521738357191
BaseRepresentation
bin100111000000111100…
…0010000000010001001
322000021000012221211200
41032001320100002021
52333042021311400
6102253424414413
76024142011141
oct1160170200211
9260230187750
1083783385225
113259459a431
12142a2a77409
137b92c028b7
1440ab423921
1522a5706b00
hex1381e10089

83783385225 has 72 divisors (see below), whose sum is σ = 159310374912. Its totient is φ = 41945433600.

The previous prime is 83783385181. The next prime is 83783385247. The reversal of 83783385225 is 52258338738.

It is a happy number.

83783385225 is a `hidden beast` number, since 8 + 3 + 7 + 83 + 38 + 522 + 5 = 666.

It is not a de Polignac number, because 83783385225 - 213 = 83783377033 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1436380 + ... + 1493570.

It is an arithmetic number, because the mean of its divisors is an integer number (2212644096).

Almost surely, 283783385225 is an apocalyptic number.

83783385225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83783385225 is a deficient number, since it is larger than the sum of its proper divisors (75526989687).

83783385225 is a wasteful number, since it uses less digits than its factorization.

83783385225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57607 (or 57599 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 83783385225 in words is "eighty-three billion, seven hundred eighty-three million, three hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 383 425 765 1149 1275 1915 3447 3825 5745 6511 9575 17235 19533 28725 32555 57191 58599 86175 97665 162775 171573 285955 292995 488325 514719 857865 972247 1429775 1464975 2573595 2916741 4289325 4861235 8750223 12867975 14583705 21904153 24306175 43751115 65712459 72918525 109520765 197137377 218755575 328562295 372370601 547603825 985686885 1117111803 1642811475 1861853005 3351335409 4928434425 5585559015 9309265025 16756677045 27927795075 83783385225