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630142232465512 = 231318165295127197
BaseRepresentation
bin1000111101000111000110101…
…1111011001001000001101000
310001122011000020122001210220101
42033101301223323021001220
51130043222243002344022
610112111202323035144
7246505162644652444
oct21721615373110150
93048130218053811
10630142232465512
111728679024a8558
125a81195280bab4
132107c208198770
14b187092535824
154ccb6a3b99627
hex23d1c6bec9068

630142232465512 has 64 divisors (see below), whose sum is σ = 1279628644366800. Its totient is φ = 289183698616320.

The previous prime is 630142232465489. The next prime is 630142232465531. The reversal of 630142232465512 is 215564232241036.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33715279668196 + 596426952797316 = 5806486^2 + 24421854^2 .

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, 120338298 + ... + 125465494.

Almost surely, 2630142232465512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630142232465512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639814322183400).

630142232465512 is an abundant number, since it is smaller than the sum of its proper divisors (649486411901288).

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

630142232465512 is a wasteful number, since it uses less digits than its factorization.

630142232465512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133926 (or 5133922 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 630142232465512 in words is "six hundred thirty trillion, one hundred forty-two billion, two hundred thirty-two million, four hundred sixty-five thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1448 2353 4706 6529 9412 13058 18824 26116 52232 84877 169754 339508 679016 1181749 2363498 4726996 5127197 9453992 10254394 15362737 20508788 30725474 41017576 61450948 66653561 122901896 133307122 266614244 533228488 928022657 1856045314 3712090628 7424181256 12064294541 24128589082 33475469213 48257178164 66950938426 96514356328 133901876852 267803753704 435181099769 870362199538 1740724399076 3481448798152 6059059927553 12118119855106 24236239710212 48472479420424 78767779058189 157535558116378 315071116232756 630142232465512