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33055033014 = 2334317598093
BaseRepresentation
bin11110110010001110…
…111100011010110110
310011022122212122211000
4132302032330122312
51020144042024024
623104004024130
72250064100433
oct366216743266
9104278778730
1033055033014
1113022782603
1264a6092046
13316a2a7843
141858098b8a
15cd6e3dcc9
hex7b23bc6b6

33055033014 has 64 divisors (see below), whose sum is σ = 75215923200. Its totient is φ = 10754656416.

The previous prime is 33055033013. The next prime is 33055033043. The reversal of 33055033014 is 41033055033.

It is a happy number.

33055033014 is a `hidden beast` number, since 3 + 305 + 50 + 3 + 301 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33055033013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4080352 + ... + 4088444.

It is an arithmetic number, because the mean of its divisors is an integer number (1175248800).

Almost surely, 233055033014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33055033014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37607961600).

33055033014 is an abundant number, since it is smaller than the sum of its proper divisors (42160890186).

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

33055033014 is a wasteful number, since it uses less digits than its factorization.

33055033014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 33055033014 its reverse (41033055033), we get a palindrome (74088088047).

The spelling of 33055033014 in words is "thirty-three billion, fifty-five million, thirty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 1759 2322 3518 5277 8093 10554 15831 16186 24279 31662 47493 48558 72837 75637 94986 145674 151274 218511 226911 347999 437022 453822 680733 695998 1043997 1361466 2042199 2087994 3131991 4084398 6263982 9395973 14235587 18791946 28471174 42706761 85413522 128120283 256240566 384360849 612130241 768721698 1224260482 1836390723 3672781446 5509172169 11018344338 16527516507 33055033014