Search a number
-
+
32243650560 = 212355111931
BaseRepresentation
bin11110000001110111…
…110001000000000000
310002020010010011100000
4132001313301000000
51012013333304220
622451301200000
72221012336062
oct360167610000
9102203104300
1032243650560
11127467779a0
1262ba400000
13306b16aa94
1417bc409732
15c8aab9390
hex781df1000

32243650560 has 1248 divisors, whose sum is σ = 137388625920. Its totient is φ = 7166361600.

The previous prime is 32243650519. The next prime is 32243650561. The reversal of 32243650560 is 6505634223.

32243650560 is a `hidden beast` number, since 3 + 2 + 2 + 43 + 6 + 50 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32243650561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1040117745 + ... + 1040117775.

It is an arithmetic number, because the mean of its divisors is an integer number (110087040).

Almost surely, 232243650560 is an apocalyptic number.

32243650560 is a gapful number since it is divisible by the number (30) 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 32243650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68694312960).

32243650560 is an abundant number, since it is smaller than the sum of its proper divisors (105144975360).

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

32243650560 is a wasteful number, since it uses less digits than its factorization.

32243650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 32243650560 in words is "thirty-two billion, two hundred forty-three million, six hundred fifty thousand, five hundred sixty".