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634442505244436 = 22768573304456891
BaseRepresentation
bin1001000001000001011010100…
…0001001111100111100010100
310002012101010000000222010220202
42100100112220021330330110
51131124201222320310221
610125202510244520032
7250430646502325120
oct22020265011747424
93065333000863822
10634442505244436
11174175612368249
125b1a725b3b0018
132130189647c735
14b295276d02580
154d5348b246d0b
hex24105a827cf14

634442505244436 has 24 divisors (see below), whose sum is σ = 1269070060458816. Its totient is φ = 271864277254080.

The previous prime is 634442505244399. The next prime is 634442505244451.

634442505244436 is nontrivially palindromic in base 10.

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, 1652036450 + ... + 1652420441.

It is an arithmetic number, because the mean of its divisors is an integer number (52877919185784).

Almost surely, 2634442505244436 is an apocalyptic number.

It is an amenable number.

634442505244436 is an abundant number, since it is smaller than the sum of its proper divisors (634627555214380).

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

634442505244436 is a wasteful number, since it uses less digits than its factorization.

634442505244436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304463759 (or 3304463757 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 56.

It can be divided in two parts, 63444250 and 5244436, that added together give a palindrome (68688686).

The spelling of 634442505244436 in words is "six hundred thirty-four trillion, four hundred forty-two billion, five hundred five million, two hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 6857 13714 27428 47999 95998 191996 3304456891 6608913782 13217827564 23131198237 46262396474 92524792948 22658660901587 45317321803174 90634643606348 158610626311109 317221252622218 634442505244436