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33389151140 = 2254199740841
BaseRepresentation
bin11111000110001001…
…100000001110100100
310012011221120121201102
4133012021200032210
51021340110314030
623201101215232
72261262046652
oct370611401644
9105157517642
1033389151140
111318433a494
126579b61518
1331c158cb87
14188a5cddd2
15d0643bc45
hex7c62603a4

33389151140 has 48 divisors (see below), whose sum is σ = 71901197424. Its totient is φ = 13016524800.

The previous prime is 33389151097. The next prime is 33389151143. The reversal of 33389151140 is 4115198333.

It can be written as a sum of positive squares in 8 ways, for example, as 314636644 + 33074514496 = 17738^2 + 181864^2 .

It is a super-2 number, since 2×333891511402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33389151094 and 33389151103.

It is not an unprimeable number, because it can be changed into a prime (33389151143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797120 + ... + 837960.

It is an arithmetic number, because the mean of its divisors is an integer number (1497941613).

Almost surely, 233389151140 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 33389151140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35950598712).

33389151140 is an abundant number, since it is smaller than the sum of its proper divisors (38512046284).

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

33389151140 is a wasteful number, since it uses less digits than its factorization.

33389151140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41888 (or 41886 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 33389151140 in words is "thirty-three billion, three hundred eighty-nine million, one hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 997 1994 3988 4985 9970 19940 40841 40877 81682 81754 163364 163508 204205 204385 408410 408770 816820 817540 1674481 3348962 6697924 8372405 16744810 33489620 40718477 81436954 162873908 203592385 407184770 814369540 1669457557 3338915114 6677830228 8347287785 16694575570 33389151140