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135079249640 = 23529731595173
BaseRepresentation
bin111110111001101011…
…0011100011011101000
3110220122220102212020212
41331303112130123220
54203120241442030
6142015441040252
712521250451226
oct1756326343350
9426586385225
10135079249640
1152317795605
1222219926088
13c9792900aa
146775cb9b16
1537a8c21595
hex1f7359c6e8

135079249640 has 64 divisors (see below), whose sum is σ = 318715765200. Its totient is φ = 51453868032.

The previous prime is 135079249609. The next prime is 135079249649. The reversal of 135079249640 is 46942970531.

It can be written as a sum of positive squares in 8 ways, for example, as 112709261284 + 22369988356 = 335722^2 + 149566^2 .

It is not an unprimeable number, because it can be changed into a prime (135079249649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712907 + ... + 882266.

Almost surely, 2135079249640 is an apocalyptic number.

135079249640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135079249640 is an abundant number, since it is smaller than the sum of its proper divisors (183636515560).

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

135079249640 is a wasteful number, since it uses less digits than its factorization.

135079249640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595286 (or 1595282 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 135079249640 in words is "one hundred thirty-five billion, seventy-nine million, two hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 73 116 145 146 232 290 292 365 580 584 730 1160 1460 2117 2920 4234 8468 10585 16936 21170 42340 84680 1595173 3190346 6380692 7975865 12761384 15951730 31903460 46260017 63806920 92520034 116447629 185040068 231300085 232895258 370080136 462600170 465790516 582238145 925200340 931581032 1164476290 1850400680 2328952580 3376981241 4657905160 6753962482 13507924964 16884906205 27015849928 33769812410 67539624820 135079249640