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130653006536 = 23134130640949
BaseRepresentation
bin111100110101110000…
…1101010101011001000
3110111020102200102012002
41321223201222223020
54120034132202121
6140004323210132
712303463142333
oct1715341525310
9414212612162
10130653006536
1150456241658
12213a3516948
13c42226c130
1464760cd61a
1535ea351e0b
hex1e6b86aac8

130653006536 has 32 divisors (see below), whose sum is σ = 270253179000. Its totient is φ = 58830620160.

The previous prime is 130653006499. The next prime is 130653006557. The reversal of 130653006536 is 635600356031.

It can be written as a sum of positive squares in 4 ways, for example, as 24396565636 + 106256440900 = 156194^2 + 325970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 130653006536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15316211 + ... + 15324738.

Almost surely, 2130653006536 is an apocalyptic number.

It is an amenable number.

130653006536 is an abundant number, since it is smaller than the sum of its proper divisors (139600172464).

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

130653006536 is a wasteful number, since it uses less digits than its factorization.

130653006536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30641009 (or 30641005 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 38.

The spelling of 130653006536 in words is "one hundred thirty billion, six hundred fifty-three million, six thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 30640949 61281898 122563796 245127592 398332337 796664674 1256278909 1593329348 2512557818 3186658696 5025115636 10050231272 16331625817 32663251634 65326503268 130653006536