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133526620620054 = 232432231100370309
BaseRepresentation
bin11110010111000100010110…
…110010100100010100010110
3122111210000112202212220001100
4132113010112302210110112
5120000200004334320204
61151553141021010530
740060660064320344
oct3627042662442426
9574700482786040
10133526620620054
113960035a343242
1212b8642b0b3a46
13596767744182c
1424d8a199a2994
151068501a16a39
hex797116ca4516

133526620620054 has 96 divisors (see below), whose sum is σ = 297394533596160. Its totient is φ = 43274284893504.

The previous prime is 133526620620017. The next prime is 133526620620059. The reversal of 133526620620054 is 450026026625331.

133526620620054 is a `hidden beast` number, since 1 + 3 + 3 + 526 + 62 + 0 + 62 + 0 + 0 + 5 + 4 = 666.

133526620620054 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 133526620619991 and 133526620620009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133526620620059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1899104652 + ... + 1899174960.

It is an arithmetic number, because the mean of its divisors is an integer number (3097859724960).

Almost surely, 2133526620620054 is an apocalyptic number.

133526620620054 is an abundant number, since it is smaller than the sum of its proper divisors (163867912976106).

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

133526620620054 is a wasteful number, since it uses less digits than its factorization.

133526620620054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81586 (or 81583 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 133526620620054 in words is "one hundred thirty-three trillion, five hundred twenty-six billion, six hundred twenty million, six hundred twenty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 43 86 129 223 258 387 446 669 774 1338 2007 4014 9589 11003 19178 22006 28767 33009 57534 66018 70309 86301 99027 140618 172602 198054 210927 421854 473129 632781 946258 1265562 1419387 2453669 2838774 3023287 4258161 4907338 6046574 7361007 8516322 9069861 14722014 15678907 18139722 22083021 27209583 31357814 44166042 47036721 54419166 94073442 105507767 141110163 211015534 282220326 316523301 633046602 674193001 773609927 949569903 1348386002 1547219854 1899139806 2022579003 2320829781 4045158006 4641659562 6067737009 6962489343 12135474018 13924978686 33265226861 66530453722 99795680583 172515013721 199591361166 299387041749 345030027442 517545041163 598774083498 1035090082326 1552635123489 3105270246978 7418145590003 14836291180006 22254436770009 44508873540018 66763310310027 133526620620054