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3483782284333 = 132235878771741
BaseRepresentation
bin110010101100100001100…
…110110000010000101101
3110100001020202222200010211
4302230201212300100231
5424034241231044313
611224232200502421
7506460241552531
oct62544146602055
913301222880124
103483782284333
11112351130637a
1248321b77aa11
131c3699a76a00
14c088a2b3bc1
156094b6c7e3d
hex32b219b042d

3483782284333 has 48 divisors (see below), whose sum is σ = 3949865652096. Its totient is φ = 3065478324480.

The previous prime is 3483782284309. The next prime is 3483782284427. The reversal of 3483782284333 is 3334822873843.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-3483782284333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483782984333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2001022843 + ... + 2001024583.

It is an arithmetic number, because the mean of its divisors is an integer number (82288867752).

Almost surely, 23483782284333 is an apocalyptic number.

It is an amenable number.

3483782284333 is a deficient number, since it is larger than the sum of its proper divisors (466083367763).

3483782284333 is a wasteful number, since it uses less digits than its factorization.

3483782284333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254 (or 3241 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 58.

The spelling of 3483782284333 in words is "three trillion, four hundred eighty-three billion, seven hundred eighty-two million, two hundred eighty-four thousand, three hundred thirty-three".

Divisors: 1 13 23 169 299 587 877 1741 3887 7631 11401 13501 20171 22633 40043 99203 148213 175513 262223 294229 514799 520559 1021967 1526857 2281669 3408899 6692387 6767267 11840377 13285571 19849141 23505241 35117711 87001031 153924901 172712423 258038833 305568133 456530243 896265059 2001023713 3972385729 5934893159 11651445767 20614096357 151468794971 267983252641 3483782284333