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135010638504 = 23327267878251
BaseRepresentation
bin111110110111101000…
…0101101101010101000
3110220111010100001110200
41331233100231222220
54203000210413004
6142004550312200
712516455330610
oct1755720555250
9426433301420
10135010638504
1152291a92a95
12221ba958660
13c967cb97a1
14676ab39a40
1537a2bbc239
hex1f6f42daa8

135010638504 has 48 divisors (see below), whose sum is σ = 417890073120. Its totient is φ = 38574468000.

The previous prime is 135010638493. The next prime is 135010638527. The reversal of 135010638504 is 405836010531.

135010638504 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 10 + 638 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133938622 + ... + 133939629.

It is an arithmetic number, because the mean of its divisors is an integer number (8706043190).

Almost surely, 2135010638504 is an apocalyptic number.

135010638504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135010638504 is an abundant number, since it is smaller than the sum of its proper divisors (282879434616).

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

135010638504 is a wasteful number, since it uses less digits than its factorization.

135010638504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267878270 (or 267878263 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 135010638504 in words is "one hundred thirty-five billion, ten million, six hundred thirty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 267878251 535756502 803634753 1071513004 1607269506 1875147757 2143026008 2410904259 3214539012 3750295514 4821808518 5625443271 6429078024 7500591028 9643617036 11250886542 15001182056 16876329813 19287234072 22501773084 33752659626 45003546168 67505319252 135010638504