Search a number
-
+
32020133312 = 262922776001
BaseRepresentation
bin11101110100100011…
…000111010111000000
310001122112112022022102
4131310203013113000
51011034123231222
622413154325532
72212326433226
oct356443072700
9101575468272
1032020133312
11126415920a2
1262575898a8
133033a6b45b
14179a864b16
15c76166d92
hex7748c75c0

32020133312 has 56 divisors (see below), whose sum is σ = 66021417360. Its totient is φ = 15389696000.

The previous prime is 32020133293. The next prime is 32020133377. The reversal of 32020133312 is 21333102023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383312 + ... + 459312.

Almost surely, 232020133312 is an apocalyptic number.

32020133312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32020133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33010708680).

32020133312 is an abundant number, since it is smaller than the sum of its proper divisors (34001284048).

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

32020133312 is a wasteful number, since it uses less digits than its factorization.

32020133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76269 (or 76259 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32020133312 its reverse (21333102023), we get a palindrome (53353235335).

The spelling of 32020133312 in words is "thirty-two billion, twenty million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 227 232 454 464 908 928 1816 1856 3632 6583 7264 13166 14528 26332 52664 76001 105328 152002 210656 304004 421312 608008 1216016 2204029 2432032 4408058 4864064 8816116 17252227 17632232 34504454 35264464 69008908 70528928 138017816 141057856 276035632 500314583 552071264 1000629166 1104142528 2001258332 4002516664 8005033328 16010066656 32020133312