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634443363344436 = 223371428926494019
BaseRepresentation
bin1001000001000001011101101…
…1010011010110000000110100
310002012101012012211122010211020
42100100113123103112000310
51131124210002004010221
610125203131340541140
7250431006662133312
oct22020273323260064
93065335184563736
10634443363344436
11174175a127814a8
125b1a745a8517b0
13213019a2195809
14b295318c730b2
154d534db748ac6
hex24105db4d6034

634443363344436 has 24 divisors (see below), whose sum is σ = 1520377789637280. Its totient is φ = 205765415138592.

The previous prime is 634443363344429. The next prime is 634443363344449.

634443363344436 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 634443363344436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714463246566 + ... + 714463247453.

It is an arithmetic number, because the mean of its divisors is an integer number (63349074568220).

Almost surely, 2634443363344436 is an apocalyptic number.

It is an amenable number.

634443363344436 is an abundant number, since it is smaller than the sum of its proper divisors (885934426292844).

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

634443363344436 is a wasteful number, since it uses less digits than its factorization.

634443363344436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428926494063 (or 1428926494061 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 60.

The spelling of 634443363344436 in words is "six hundred thirty-four trillion, four hundred forty-three billion, three hundred sixty-three million, three hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 1428926494019 2857852988038 4286779482057 5715705976076 8573558964114 17147117928228 52870280278703 105740560557406 158610840836109 211481121114812 317221681672218 634443363344436