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133664411370605 = 5173741113281181
BaseRepresentation
bin11110011001000100101011…
…110000100100010001101101
3122112021012012122111021021212
4132121010223300210101231
5120004424203302324410
61152140325523004205
740103635501345223
oct3631045360442155
9575235178437255
10133664411370605
113965383865a595
1212ba9084b09665
1359776663b411b
14250156ba26b13
15106bdb87e0b05
hex79912bc2446d

133664411370605 has 96 divisors (see below), whose sum is σ = 180274124747808. Its totient is φ = 94686481612800.

The previous prime is 133664411370599. The next prime is 133664411370643. The reversal of 133664411370605 is 506073114466331.

It can be written as a sum of positive squares in 48 ways, for example, as 129853568599561 + 3810842771044 = 11395331^2 + 1952138^2 .

It is not a de Polignac number, because 133664411370605 - 238 = 133389533463661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1646458115 + ... + 1646539295.

It is an arithmetic number, because the mean of its divisors is an integer number (1877855466123).

Almost surely, 2133664411370605 is an apocalyptic number.

It is an amenable number.

133664411370605 is a deficient number, since it is larger than the sum of its proper divisors (46609713377203).

133664411370605 is a wasteful number, since it uses less digits than its factorization.

133664411370605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81507 (or 81394 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 133664411370605 in words is "one hundred thirty-three trillion, six hundred sixty-four billion, four hundred eleven million, three hundred seventy thousand, six hundred five".

Divisors: 1 5 17 37 41 85 113 185 205 565 629 697 1517 1921 3145 3485 4181 4633 7585 9605 12769 20905 23165 25789 63845 71077 78761 81181 128945 171421 217073 355385 393805 405905 472453 523529 857105 1085365 1380077 2362265 2617645 2914157 3003697 3328421 6900385 8031701 8899993 9173453 14570785 15018485 16642105 19370573 40158505 44499965 45867265 51062849 56583157 96852865 123151577 155948701 255314245 282915785 329299741 339417761 376111573 615757885 779743505 1036600189 1646498705 1697088805 1880557865 2093576809 5183000945 5770101937 6393896741 10467884045 13916128201 17622203213 28850509685 31969483705 38354206993 42500607749 69580641005 88111016065 191771034965 212503038745 236574179417 652021518881 722510331733 1182870897085 1572522486713 3260107594405 3612551658665 7862612433565 26732882274121 133664411370605