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33132044420 = 22537291715349
BaseRepresentation
bin11110110110110100…
…101110000010000100
310011112000210020121022
4132312310232002010
51020323300410140
623115354410312
72252020505456
oct366664560204
9104460706538
1033132044420
11130621a23a2
126507a30998
13318022c817
1418643c42d6
15cddaa20b5
hex7b6d2e084

33132044420 has 48 divisors (see below), whose sum is σ = 71486914800. Its totient is φ = 12889373184.

The previous prime is 33132044411. The next prime is 33132044443. The reversal of 33132044420 is 2444023133.

It can be written as a sum of positive squares in 8 ways, for example, as 6149382724 + 26982661696 = 78418^2 + 164264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33132044420.

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, 2150906 + ... + 2166254.

It is an arithmetic number, because the mean of its divisors is an integer number (1489310725).

Almost surely, 233132044420 is an apocalyptic number.

It is an amenable number.

33132044420 is an abundant number, since it is smaller than the sum of its proper divisors (38354870380).

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

33132044420 is a wasteful number, since it uses less digits than its factorization.

33132044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18312 (or 18310 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 33132044420 its reverse (2444023133), we get a palindrome (35576067553).

The spelling of 33132044420 in words is "thirty-three billion, one hundred thirty-two million, forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 2917 5834 11668 14585 15349 29170 30698 58340 61396 76745 107929 153490 215858 306980 431716 539645 567913 1079290 1135826 2158580 2271652 2839565 5679130 11358260 44773033 89546066 179092132 223865165 447730330 895460660 1656602221 3313204442 6626408884 8283011105 16566022210 33132044420