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623434040434326 = 2311210131541269561
BaseRepresentation
bin1000110111000000101000110…
…0100001010101111010010110
310000202101201020012021120002210
42031300022030201111322112
51123203320403322344301
610045533351103014250
7245213423462340012
oct21560121441257226
93022351205246083
10623434040434326
11170710989a2a200
1259b0983a89a386
13209b3768431804
14add452346b542
154c11e3b87aad6
hex237028c855e96

623434040434326 has 96 divisors (see below), whose sum is σ = 1384142985334368. Its totient is φ = 187042292800000.

The previous prime is 623434040434307. The next prime is 623434040434339.

623434040434326 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 47 ways as a sum of consecutive naturals, for example, 2312640586 + ... + 2312910146.

It is an arithmetic number, because the mean of its divisors is an integer number (14418156097233).

Almost surely, 2623434040434326 is an apocalyptic number.

623434040434326 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 623434040434326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692071492667184).

623434040434326 is an abundant number, since it is smaller than the sum of its proper divisors (760708944900042).

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

623434040434326 is a wasteful number, since it uses less digits than its factorization.

623434040434326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301230 (or 301219 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 48.

The spelling of 623434040434326 in words is "six hundred twenty-three trillion, four hundred thirty-four billion, forty million, four hundred thirty-four thousand, three hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 2222 3333 6666 12221 24442 31541 36663 63082 73326 94623 189246 269561 346951 539122 693902 808683 1040853 1617366 2081706 2965171 3185641 3816461 5930342 6371282 7632922 8895513 9556923 11449383 17791026 19113846 22898766 27225661 32616881 35042051 54451322 65233762 70084102 81676983 97850643 105126153 163353966 195701286 210252306 299482271 385462561 598964542 770925122 898446813 1156387683 1796893626 2312775366 3294304981 6588609962 8502223501 9882914943 17004447002 19765829886 25506670503 51013341006 93524458511 187048917022 280573375533 561146751066 858724573601 1028769043621 1717449147202 2057538087242 2576173720803 3086307130863 5152347441606 6172614261726 9445970309611 18891940619222 28337910928833 56675821857666 103905673405721 207811346811442 311717020217163 623434040434326