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1348616387216 = 24736809327127
BaseRepresentation
bin10011100111111111110…
…011001111101010010000
311202221000101122210221002
4103213333303033222100
5134043431243342331
62511313521321132
7166301654102540
oct23477763175220
94687011583832
101348616387216
1147aa438794aa
12199454a961a8
139a235305577
14493b8231320
15251320b09cb
hex139ffccfa90

1348616387216 has 40 divisors (see below), whose sum is σ = 2986312256640. Its totient is φ = 577960982784.

The previous prime is 1348616387191. The next prime is 1348616387227. The reversal of 1348616387216 is 6127836168431.

It is a happy number.

It is a super-3 number, since 3×13486163872163 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3959045 + ... + 4286171.

It is an arithmetic number, because the mean of its divisors is an integer number (74657806416).

Almost surely, 21348616387216 is an apocalyptic number.

1348616387216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1348616387216 is an abundant number, since it is smaller than the sum of its proper divisors (1637695869424).

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

1348616387216 is a wasteful number, since it uses less digits than its factorization.

1348616387216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363951 (or 363945 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 56.

The spelling of 1348616387216 in words is "one trillion, three hundred forty-eight billion, six hundred sixteen million, three hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 36809 73618 147236 257663 294472 327127 515326 588944 654254 1030652 1308508 2061304 2289889 2617016 4122608 4579778 5234032 9159556 18319112 36638224 12041217743 24082435486 48164870972 84288524201 96329741944 168577048402 192659483888 337154096804 674308193608 1348616387216