Search a number
-
+
32303867904 = 21136711281
BaseRepresentation
bin11110000101011101…
…011110100000000000
310002101022102112000000
4132011131132200000
51012124242233104
622501252000000
72222343226620
oct360535364000
9102338375000
1032303867904
11127777670a0
126316600000
13307a792949
1417c6402880
15c91011639
hex78575e800

32303867904 has 672 divisors, whose sum is σ = 121169805120. Its totient is φ = 8360755200.

The previous prime is 32303867879. The next prime is 32303867909. The reversal of 32303867904 is 40976830323.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 32303867904.

It is not an unprimeable number, because it can be changed into a prime (32303867909) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 114960244 + ... + 114960524.

It is an arithmetic number, because the mean of its divisors is an integer number (180312210).

Almost surely, 232303867904 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 32303867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60584902560).

32303867904 is an abundant number, since it is smaller than the sum of its proper divisors (88865937216).

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

32303867904 is an equidigital number, since it uses as much as digits as its factorization.

32303867904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 32303867904 in words is "thirty-two billion, three hundred three million, eight hundred sixty-seven thousand, nine hundred four".