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13106626656 = 253271503791
BaseRepresentation
bin11000011010011011…
…10100000001100000
31020211102102121201220
430031031310001200
5203320244023111
610004320255040
7642536326344
oct141515640140
936742377656
1013106626656
115616392662
122659471480
13130b4c57b6
148c49a3624
1551a9b4e06
hex30d374060

13106626656 has 48 divisors (see below), whose sum is σ = 34531918848. Its totient is φ = 4352745600.

The previous prime is 13106626651. The next prime is 13106626657. The reversal of 13106626656 is 65662660131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106626651) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 225880 + ... + 277911.

It is an arithmetic number, because the mean of its divisors is an integer number (719414976).

Almost surely, 213106626656 is an apocalyptic number.

13106626656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13106626656 is an abundant number, since it is smaller than the sum of its proper divisors (21425292192).

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

13106626656 is a wasteful number, since it uses less digits than its factorization.

13106626656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504075 (or 504067 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13106626656 in words is "thirteen billion, one hundred six million, six hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 26016 503791 1007582 1511373 2015164 3022746 4030328 6045492 8060656 12090984 16121312 24181968 48363936 136527361 273054722 409582083 546109444 819164166 1092218888 1638328332 2184437776 3276656664 4368875552 6553313328 13106626656