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13128383457 = 3272148919993
BaseRepresentation
bin11000011101000001…
…10011101111100001
31020212221100222110100
430032200303233201
5203341331232312
610010414453013
7643222263300
oct141640635741
936787328410
1013128383457
1156276a2892
122664804169
131312b72747
148c7828437
1551c8615dc
hex30e833be1

13128383457 has 36 divisors (see below), whose sum is σ = 22075175460. Its totient is φ = 7496520192.

The previous prime is 13128383419. The next prime is 13128383479. The reversal of 13128383457 is 75438382131.

13128383457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5185296081 + 7943087376 = 72009^2 + 89124^2 .

It is a de Polignac number, because none of the positive numbers 2k-13128383457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13128381457) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 646653 + ... + 666645.

Almost surely, 213128383457 is an apocalyptic number.

It is an amenable number.

13128383457 is a deficient number, since it is larger than the sum of its proper divisors (8946792003).

13128383457 is a wasteful number, since it uses less digits than its factorization.

13128383457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21502 (or 21492 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 13128383457 in words is "thirteen billion, one hundred twenty-eight million, three hundred eighty-three thousand, four hundred fifty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 1489 4467 10423 13401 19993 31269 59979 72961 93807 139951 179937 218883 419853 656649 979657 1259559 2938971 8816913 29769577 89308731 208387039 267926193 625161117 1458709273 1875483351 4376127819 13128383457