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33052054440 = 2335405767891
BaseRepresentation
bin11110110010000011…
…100101001110101000
310011022110021022222110
4132302003211032220
51020142311220230
623103420122320
72250026553516
oct366203451650
9104273238873
1033052054440
1113021028779
1264a50963a0
1331697a3b82
1418579214b6
15cd6a514b0
hex7b20e53a8

33052054440 has 64 divisors (see below), whose sum is σ = 99182064960. Its totient is φ = 8811578880.

The previous prime is 33052054433. The next prime is 33052054501. The reversal of 33052054440 is 4445025033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33052054398 and 33052054407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452895 + ... + 520785.

It is an arithmetic number, because the mean of its divisors is an integer number (1549719765).

Almost surely, 233052054440 is an apocalyptic number.

33052054440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33052054440 is an abundant number, since it is smaller than the sum of its proper divisors (66130010520).

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

33052054440 is a wasteful number, since it uses less digits than its factorization.

33052054440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71962 (or 71958 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 33052054440 its reverse (4445025033), we get a palindrome (37497079473).

The spelling of 33052054440 in words is "thirty-three billion, fifty-two million, fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4057 8114 12171 16228 20285 24342 32456 40570 48684 60855 67891 81140 97368 121710 135782 162280 203673 243420 271564 339455 407346 486840 543128 678910 814692 1018365 1357820 1629384 2036730 2715640 4073460 8146920 275433787 550867574 826301361 1101735148 1377168935 1652602722 2203470296 2754337870 3305205444 4131506805 5508675740 6610410888 8263013610 11017351480 16526027220 33052054440