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136408411665 = 345336810893
BaseRepresentation
bin111111100001010010…
…0110010111000010001
3111001002112111021210000
41333002210302320101
54213331023133130
6142355401400213
712566220240201
oct1770244627021
9431075437700
10136408411665
1152939aa0719
122252aa99069
13cb2b7687b6
14686062c401
153835772260
hex1fc2932e11

136408411665 has 20 divisors (see below), whose sum is σ = 244524709044. Its totient is φ = 72751152672.

The previous prime is 136408411631. The next prime is 136408411697. The reversal of 136408411665 is 566114804631.

136408411665 is a `hidden beast` number, since 136 + 40 + 8 + 411 + 6 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66960877824 + 69447533841 = 258768^2 + 263529^2 .

It is not a de Polignac number, because 136408411665 - 27 = 136408411537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 136408411665.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168405042 + ... + 168405851.

Almost surely, 2136408411665 is an apocalyptic number.

136408411665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136408411665 is a deficient number, since it is larger than the sum of its proper divisors (108116297379).

136408411665 is an equidigital number, since it uses as much as digits as its factorization.

136408411665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336810910 (or 336810901 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 136408411665 in words is "one hundred thirty-six billion, four hundred eight million, four hundred eleven thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 336810893 1010432679 1684054465 3031298037 5052163395 9093894111 15156490185 27281682333 45469470555 136408411665