Search a number
-
+
32755814848 = 264324734813
BaseRepresentation
bin11110100000011001…
…100001000111000000
310010112210211210122201
4132200121201013000
51014040442033343
623014154442544
72236501555321
oct364031410700
9103483753581
1032755814848
1112989892569
126421a33454
1331202c1883
14182a44a448
15cbaa3694d
hex7a06611c0

32755814848 has 56 divisors (see below), whose sum is σ = 66552163568. Its totient is φ = 15987234816.

The previous prime is 32755814827. The next prime is 32755814851. The reversal of 32755814848 is 84841855723.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6803290 + ... + 6808102.

Almost surely, 232755814848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32755814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33276081784).

32755814848 is an abundant number, since it is smaller than the sum of its proper divisors (33796348720).

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

32755814848 is a wasteful number, since it uses less digits than its factorization.

32755814848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341 (or 7331 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 55.

The spelling of 32755814848 in words is "thirty-two billion, seven hundred fifty-five million, eight hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 2473 2752 4813 4946 9626 9892 19252 19784 38504 39568 77008 79136 106339 154016 158272 206959 212678 308032 413918 425356 827836 850712 1655672 1701424 3311344 3402848 6622688 6805696 11902549 13245376 23805098 47610196 95220392 190440784 380881568 511809607 761763136 1023619214 2047238428 4094476856 8188953712 16377907424 32755814848