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13023551264 = 253710999621
BaseRepresentation
bin11000010000100001…
…11001111100100000
31020121122002221201112
430020100321330200
5203133012120024
65552151522452
7640510234133
oct141020717440
936548087645
1013023551264
115583500909
122635689428
1312c7229669
148b793a21a
1551355500e
hex308439f20

13023551264 has 24 divisors (see below), whose sum is σ = 26333095068. Its totient is φ = 6335781120.

The previous prime is 13023551249. The next prime is 13023551297. The reversal of 13023551264 is 46215532031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12256261264 + 767290000 = 110708^2 + 27700^2 .

It is a super-2 number, since 2×130235512642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13023551264.

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 3 ways as a sum of consecutive naturals, for example, 5498627 + ... + 5500994.

Almost surely, 213023551264 is an apocalyptic number.

It is an amenable number.

13023551264 is an abundant number, since it is smaller than the sum of its proper divisors (13309543804).

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

13023551264 is a wasteful number, since it uses less digits than its factorization.

13023551264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10999668 (or 10999660 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 13023551264 in words is "thirteen billion, twenty-three million, five hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 10999621 21999242 43998484 87996968 175993936 351987872 406985977 813971954 1627943908 3255887816 6511775632 13023551264