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13026254315076 = 22321721284729273
BaseRepresentation
bin1011110110001110100101…
…0000101101111001000100
31201010022001001121220220100
42331203221100231321010
53201410232101040301
643412102325404100
72513054503530132
oct275435120557104
951108031556810
1013026254315076
114172448a70252
1215646aa269630
137364a80225b2
1433068cbda752
15178c99523286
hexbd8e942de44

13026254315076 has 36 divisors (see below), whose sum is σ = 34864386550812. Its totient is φ = 4086668020224.

The previous prime is 13026254314993. The next prime is 13026254315077. The reversal of 13026254315076 is 67051345262031.

13026254315076 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 62 + 54 + 31 + 507 + 6 = 666.

13026254315076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7068632516100 + 5957621798976 = 2658690^2 + 2440824^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×130262543150762 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13026254315077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10642364025 + ... + 10642365248.

It is an arithmetic number, because the mean of its divisors is an integer number (968455181967).

Almost surely, 213026254315076 is an apocalyptic number.

It is an amenable number.

13026254315076 is an abundant number, since it is smaller than the sum of its proper divisors (21838132235736).

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

13026254315076 is a wasteful number, since it uses less digits than its factorization.

13026254315076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21284729300 (or 21284729295 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13026254315076 in words is "thirteen trillion, twenty-six billion, two hundred fifty-four million, three hundred fifteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 21284729273 42569458546 63854187819 85138917092 127708375638 191562563457 255416751276 361840397641 383125126914 723680795282 766250253828 1085521192923 1447361590564 2171042385846 3256563578769 4342084771692 6513127157538 13026254315076