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13116387348 = 2234295313709
BaseRepresentation
bin11000011011100110…
…00011000000010100
31020212002210111220000
430031303003000110
5203330243343343
610005305411300
7643015311231
oct141563030024
936762714800
1013116387348
115620949a49
122660799b30
13131053245c
148c5dc4788
1551b791ed3
hex30dcc3014

13116387348 has 60 divisors (see below), whose sum is σ = 34302940980. Its totient is φ = 4370329728.

The previous prime is 13116387299. The next prime is 13116387379. The reversal of 13116387348 is 84378361131.

13116387348 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 638 + 7 + 3 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11016181764 + 2100205584 = 104958^2 + 45828^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 949918 + ... + 963626.

It is an arithmetic number, because the mean of its divisors is an integer number (571715683).

Almost surely, 213116387348 is an apocalyptic number.

13116387348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13116387348 is an abundant number, since it is smaller than the sum of its proper divisors (21186553632).

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

13116387348 is a wasteful number, since it uses less digits than its factorization.

13116387348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16678 (or 16667 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 13116387348 in words is "thirteen billion, one hundred sixteen million, three hundred eighty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2953 5906 8859 11812 13709 17718 26577 27418 35436 41127 53154 54836 79731 82254 106308 123381 159462 164508 239193 246762 318924 370143 478386 493524 740286 956772 1110429 1480572 2220858 4441716 40482677 80965354 121448031 161930708 242896062 364344093 485792124 728688186 1093032279 1457376372 2186064558 3279096837 4372129116 6558193674 13116387348