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13260214752 = 253413368957
BaseRepresentation
bin11000101100101111…
…01101000111100000
31021020010102200222220
430112113231013200
5204124103333002
610031444231040
7646412652141
oct142627550740
937203380886
1013260214752
115695055674
1226a099b480
13133427c925
148db143ac8
155292027bc
hex3165ed1e0

13260214752 has 48 divisors (see below), whose sum is σ = 35657051472. Its totient is φ = 4312263680.

The previous prime is 13260214733. The next prime is 13260214789. The reversal of 13260214752 is 25741206231.

13260214752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1680543 + ... + 1688414.

It is an arithmetic number, because the mean of its divisors is an integer number (742855239).

Almost surely, 213260214752 is an apocalyptic number.

13260214752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13260214752 is an abundant number, since it is smaller than the sum of its proper divisors (22396836720).

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

13260214752 is a wasteful number, since it uses less digits than its factorization.

13260214752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369011 (or 3369003 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 13260214752 in words is "thirteen billion, two hundred sixty million, two hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 3368957 6737914 10106871 13475828 20213742 26951656 40427484 53903312 80854968 107806624 138127237 161709936 276254474 323419872 414381711 552508948 828763422 1105017896 1657526844 2210035792 3315053688 4420071584 6630107376 13260214752