Search a number
-
+
32324802048 = 29327111723233
BaseRepresentation
bin11110000110101101…
…010101011000000000
310002102202211002020200
4132012231111120000
51012200122131143
622503320405200
72223016166250
oct360655253000
9102382732220
1032324802048
1112788565240
126321616800
133081c12306
1417c90d1960
15c92c991d3
hex786b55600

32324802048 has 960 divisors, whose sum is σ = 129059453952. Its totient is φ = 7526154240.

The previous prime is 32324802023. The next prime is 32324802073. The reversal of 32324802048 is 84020842323.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32324802023) and next prime (32324802073).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138732940 + ... + 138733172.

Almost surely, 232324802048 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 32324802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64529726976).

32324802048 is an abundant number, since it is smaller than the sum of its proper divisors (96734651904).

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

32324802048 is a wasteful number, since it uses less digits than its factorization.

32324802048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 32324802048 in words is "thirty-two billion, three hundred twenty-four million, eight hundred two thousand, forty-eight".