Search a number
-
+
33390738864 = 243576731823
BaseRepresentation
bin11111000110001111…
…100011110110110000
310012012001120021200000
4133012033203312300
51021341012120424
623201155230000
72261311411620
oct370617436660
9105161507600
1033390738864
111318522435a
12657a5a8300
1331c19c7762
14188a8c4880
15d066523c9
hex7c63e3db0

33390738864 has 240 divisors, whose sum is σ = 110978230272. Its totient is φ = 9520809984.

The previous prime is 33390738841. The next prime is 33390738961. The reversal of 33390738864 is 46883709333.

It is a super-2 number, since 2×333907388642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 33390738864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18315457 + ... + 18317279.

Almost surely, 233390738864 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 33390738864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55489115136).

33390738864 is an abundant number, since it is smaller than the sum of its proper divisors (77587491408).

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

33390738864 is a wasteful number, since it uses less digits than its factorization.

33390738864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 33390738864 in words is "thirty-three billion, three hundred ninety million, seven hundred thirty-eight thousand, eight hundred sixty-four".