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3290945970496 = 26175393560869
BaseRepresentation
bin101111111000111011101…
…010100110000101000000
3102122121111200102221122011
4233320323222212011000
5412404324132023441
610555501213222304
7456522465126112
oct57707352460500
912577450387564
103290945970496
111059756229668
12451983191994
131ab447941cb2
14b53d579b3b2
155a912102581
hex2fe3baa6140

3290945970496 has 56 divisors (see below), whose sum is σ = 6915910735080. Its totient is φ = 1548390531072.

The previous prime is 3290945970469. The next prime is 3290945970497. The reversal of 3290945970496 is 6940795490923.

3290945970496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 741431212096 + 2549514758400 = 861064^2 + 1596720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290945970497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5587150 + ... + 6148018.

Almost surely, 23290945970496 is an apocalyptic number.

It is an amenable number.

3290945970496 is an abundant number, since it is smaller than the sum of its proper divisors (3624964764584).

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

3290945970496 is a wasteful number, since it uses less digits than its factorization.

3290945970496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566291 (or 566281 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 67.

The spelling of 3290945970496 in words is "three trillion, two hundred ninety billion, nine hundred forty-five million, nine hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 5393 10786 21572 43144 86288 91681 172576 183362 345152 366724 560869 733448 1121738 1466896 2243476 2933792 4486952 5867584 8973904 9534773 17947808 19069546 35895616 38139092 76278184 152556368 305112736 610225472 3024766517 6049533034 12099066068 24198132136 48396264272 51421030789 96792528544 102842061578 193585057088 205684123156 411368246312 822736492624 1645472985248 3290945970496