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63145266345468 = 223217991910662763
BaseRepresentation
bin11100101101110001001110…
…01010110111010111111100
322021120121222011220202000200
432112320213022313113330
531234033001141023333
6342144311311523500
716205044364646636
oct1626704712672774
9267517864822020
1063145266345468
111913583672724a
1270b9b85b29590
13293075b045518
141184366451a56
15747847531c13
hex396e272b75fc

63145266345468 has 72 divisors (see below), whose sum is σ = 160683588374400. Its totient is φ = 20908055542176.

The previous prime is 63145266345467. The next prime is 63145266345487. The reversal of 63145266345468 is 86454366254136.

It is a happy number.

63145266345468 is a `hidden beast` number, since 6 + 3 + 1 + 4 + 5 + 26 + 63 + 4 + 546 + 8 = 666.

It is a super-3 number, since 3×631452663454683 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63145266345467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590655 + ... + 11253417.

It is an arithmetic number, because the mean of its divisors is an integer number (2231716505200).

Almost surely, 263145266345468 is an apocalyptic number.

It is an amenable number.

63145266345468 is an abundant number, since it is smaller than the sum of its proper divisors (97538322028932).

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

63145266345468 is a wasteful number, since it uses less digits than its factorization.

63145266345468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10663871 (or 10663866 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 63.

The spelling of 63145266345468 in words is "sixty-three trillion, one hundred forty-five billion, two hundred sixty-six million, three hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 919 1074 1611 1838 2148 2757 3222 3676 5514 6444 8271 11028 16542 33084 164501 329002 493503 658004 987006 1480509 1974012 2961018 5922036 10662763 21325526 31988289 42651052 63976578 95964867 127953156 191929734 383859468 1908634577 3817269154 5725903731 7634538308 9799079197 11451807462 17177711193 19598158394 22903614924 29397237591 34355422386 39196316788 58794475182 68710844772 88191712773 117588950364 176383425546 352766851092 1754035176263 3508070352526 5262105528789 7016140705052 10524211057578 15786316586367 21048422115156 31572633172734 63145266345468