Search a number
-
+
33025065984 = 210346312
BaseRepresentation
bin11110110000011100…
…101000010000000000
310011020120111011210000
4132300130220100000
51020113404102414
623101013440000
72246251300131
oct366034502000
9104216434700
1033025065984
1113007874969
126498040000
133164014881
1418540d7c88
15cd44beb09
hex7b0728400

33025065984 has 165 divisors, whose sum is σ = 98775841791. Its totient is φ = 10990909440.

The previous prime is 33025065971. The next prime is 33025066001. The reversal of 33025065984 is 48956052033.

The square root of 33025065984 is 181728.

It is a perfect power (a square), and thus also a powerful number.

33025065984 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 50 + 6 + 598 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 52337349 + ... + 52337979.

Almost surely, 233025065984 is an apocalyptic number.

33025065984 is the 181728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33025065984

33025065984 is an abundant number, since it is smaller than the sum of its proper divisors (65750775807).

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

33025065984 is an frugal number, since it uses more digits than its factorization.

33025065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 33025065984 in words is "thirty-three billion, twenty-five million, sixty-five thousand, nine hundred eighty-four".