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135443660616 = 233211215546793
BaseRepresentation
bin111111000100100010…
…0100011111101001000
3110221121022010212010200
41332021010203331020
54204342034114431
6142115535412200
712533264056005
oct1761104437510
9427538125120
10135443660616
1152494462a00
12222bb984060
13ca069207a4
1467ac4588ac
1537cac04ee6
hex1f89123f48

135443660616 has 72 divisors (see below), whose sum is σ = 403206102390. Its totient is φ = 41043530880.

The previous prime is 135443660593. The next prime is 135443660621. The reversal of 135443660616 is 616066344531.

135443660616 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 4 + 36 + 606 + 1 + 6 = 666.

135443660616 is digitally balanced in base 3, 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 only one way, i.e., 84523932900 + 50919727716 = 290730^2 + 225654^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7764685 + ... + 7782108.

Almost surely, 2135443660616 is an apocalyptic number.

It is an amenable number.

135443660616 is an abundant number, since it is smaller than the sum of its proper divisors (267762441774).

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

135443660616 is a wasteful number, since it uses less digits than its factorization.

135443660616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15546827 (or 15546809 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 135443660616 in words is "one hundred thirty-five billion, four hundred forty-three million, six hundred sixty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 15546793 31093586 46640379 62187172 93280758 124374344 139921137 171014723 186561516 279842274 342029446 373123032 513044169 559684548 684058892 1026088338 1119369096 1368117784 1539132507 1881161953 2052176676 3078265014 3762323906 4104353352 5643485859 6156530028 7524647812 11286971718 12313060056 15049295624 16930457577 22573943436 33860915154 45147886872 67721830308 135443660616