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33341430164 = 22753206910859
BaseRepresentation
bin11111000011010011…
…011101100110010100
310012001121210010211212
4133003103131212110
51021240401231124
623152234320552
72260142323520
oct370323354624
9105047703755
1033341430164
111315a405a69
126565b89158
1331b4721c03
14188412ad80
15d0216240e
hex7c34dd994

33341430164 has 48 divisors (see below), whose sum is σ = 67980124800. Its totient is φ = 14011510656.

The previous prime is 33341430163. The next prime is 33341430193. The reversal of 33341430164 is 46103414333.

It is a super-2 number, since 2×333414301642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33341430164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33341430163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3064967 + ... + 3075825.

It is an arithmetic number, because the mean of its divisors is an integer number (1416252600).

Almost surely, 233341430164 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 33341430164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33990062400).

33341430164 is an abundant number, since it is smaller than the sum of its proper divisors (34638694636).

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

33341430164 is a wasteful number, since it uses less digits than its factorization.

33341430164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12992 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 33341430164 its reverse (46103414333), we get a palindrome (79444844497).

The spelling of 33341430164 in words is "thirty-three billion, three hundred forty-one million, four hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1484 2069 4138 8276 10859 14483 21718 28966 43436 57932 76013 109657 152026 219314 304052 438628 575527 767599 1151054 1535198 2302108 3070396 4028689 8057378 16114756 22467271 44934542 89869084 157270897 314541794 629083588 1190765363 2381530726 4763061452 8335357541 16670715082 33341430164