Search a number
-
+
33550040160 = 25335713312753
BaseRepresentation
bin11111001111101111…
…001111110001100000
310012121011022121222000
4133033233033301200
51022202302241120
623225045444000
72265254431110
oct371757176140
9105534277860
1033550040160
111325713981a
126603a10600
133218a02190
1418a3b11040
15d1561c990
hex7cfbcfc60

33550040160 has 768 divisors, whose sum is σ = 149239480320. Its totient is φ = 6847856640.

The previous prime is 33550040159. The next prime is 33550040171. The reversal of 33550040160 is 6104005533.

It is a super-2 number, since 2×335500401602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12185344 + ... + 12188096.

It is an arithmetic number, because the mean of its divisors is an integer number (194322240).

Almost surely, 233550040160 is an apocalyptic number.

33550040160 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 33550040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74619740160).

33550040160 is an abundant number, since it is smaller than the sum of its proper divisors (115689440160).

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

33550040160 is a wasteful number, since it uses less digits than its factorization.

33550040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 33550040160 its reverse (6104005533), we get a palindrome (39654045693).

The spelling of 33550040160 in words is "thirty-three billion, five hundred fifty million, forty thousand, one hundred sixty".