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33011000028 = 22328419108917
BaseRepresentation
bin11110101111100110…
…111110001011011100
310011012121000112220200
4132233212332023130
51020101304000103
623055352143500
72246020604406
oct365746761334
9104177015820
1033011000028
1112aaa937a06
126493397b90
13316112b416
1418522b5b76
15cd31420a3
hex7af9be2dc

33011000028 has 36 divisors (see below), whose sum is σ = 83455149960. Its totient is φ = 11002258656.

The previous prime is 33011000023. The next prime is 33011000059. The reversal of 33011000028 is 82000011033.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×330110000282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33011000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248626 + ... + 357542.

It is an arithmetic number, because the mean of its divisors is an integer number (2318198610).

Almost surely, 233011000028 is an apocalyptic number.

It is an amenable number.

33011000028 is an abundant number, since it is smaller than the sum of its proper divisors (50444149932).

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

33011000028 is a wasteful number, since it uses less digits than its factorization.

33011000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117346 (or 117341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 33011000028 in words is "thirty-three billion, eleven million, twenty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 36 8419 16838 25257 33676 50514 75771 101028 108917 151542 217834 303084 326751 435668 653502 980253 1307004 1960506 3921012 916972223 1833944446 2750916669 3667888892 5501833338 8252750007 11003666676 16505500014 33011000028