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634435424534436 = 223755631357685183
BaseRepresentation
bin1001000001000001000000001…
…0000111001011111110100100
310002012100102201120100210211020
42100100100002013023332210
51131124042222140100221
610125155335504411140
7250430306153304540
oct22020200207137644
93065312646323736
10634435424534436
111741726094a7aa8
125b1a5a04016ab0
13213010085281c5
14b294ba4776a20
154d531c47d8ac6
hex24104021cbfa4

634435424534436 has 48 divisors (see below), whose sum is σ = 1692131921485824. Its totient is φ = 181234679574816.

The previous prime is 634435424534369. The next prime is 634435424534449.

634435424534436 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 634435424534436.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678375300 + ... + 679309883.

It is an arithmetic number, because the mean of its divisors is an integer number (35252748364288).

Almost surely, 2634435424534436 is an apocalyptic number.

It is an amenable number.

634435424534436 is an abundant number, since it is smaller than the sum of its proper divisors (1057696496951388).

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

634435424534436 is a wasteful number, since it uses less digits than its factorization.

634435424534436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357690760 (or 1357690758 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 60.

The spelling of 634435424534436 in words is "six hundred thirty-four trillion, four hundred thirty-five billion, four hundred twenty-four million, five hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5563 11126 16689 22252 33378 38941 66756 77882 116823 155764 233646 467292 1357685183 2715370366 4073055549 5430740732 8146111098 9503796281 16292222196 19007592562 28511388843 38015185124 57022777686 114045555372 7552802673029 15105605346058 22658408019087 30211210692116 45316816038174 52869618711203 90633632076348 105739237422406 158608856133609 211478474844812 317217712267218 634435424534436