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13006651266540 = 22325197336624011
BaseRepresentation
bin1011110101000101100011…
…0101000001010111101100
31201001102102220000212200200
42331101120311001113230
53201100110211012130
643355101220153500
72511461641420131
oct275213065012754
951042386025620
1013006651266540
1141650a9614798
121560939238890
137346a295c7a9
1432d74d524588
151784ed567760
hexbd458d415ec

13006651266540 has 72 divisors (see below), whose sum is σ = 39473506629648. Its totient is φ = 3466682290560.

The previous prime is 13006651266529. The next prime is 13006651266541. The reversal of 13006651266540 is 4566215660031.

13006651266540 is a `hidden beast` number, since 1 + 30 + 0 + 6 + 6 + 5 + 12 + 66 + 540 = 666.

13006651266540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130066512665402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13006651266541) 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, 17956866 + ... + 18667145.

It is an arithmetic number, because the mean of its divisors is an integer number (548243147634).

Almost surely, 213006651266540 is an apocalyptic number.

13006651266540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006651266540 is an abundant number, since it is smaller than the sum of its proper divisors (26466855363108).

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

13006651266540 is a wasteful number, since it uses less digits than its factorization.

13006651266540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36625999 (or 36625994 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13006651266540 in words is "thirteen trillion, six billion, six hundred fifty-one million, two hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1973 3946 5919 7892 9865 11838 17757 19730 23676 29595 35514 39460 59190 71028 88785 118380 177570 355140 36624011 73248022 109872033 146496044 183120055 219744066 329616099 366240110 439488132 549360165 659232198 732480220 1098720330 1318464396 1648080495 2197440660 3296160990 6592321980 72259173703 144518347406 216777521109 289036694812 361295868515 433555042218 650332563327 722591737030 867110084436 1083887605545 1300665126654 1445183474060 2167775211090 2601330253308 3251662816635 4335550422180 6503325633270 13006651266540