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13306727880 = 2332561605953
BaseRepresentation
bin11000110010010010…
…01000110111001000
31021100100221211000100
430121021020313020
5204223010243010
610040225205400
7650516215005
oct143111106710
937310854010
1013306727880
115709334676
1226b4490860
131340ab6ba4
149033b08ac
1552d33e2c0
hex319248dc8

13306727880 has 96 divisors (see below), whose sum is σ = 43955903160. Its totient is φ = 3490283520.

The previous prime is 13306727873. The next prime is 13306727887. The reversal of 13306727880 is 8872760331.

It is an interprime number because it is at equal distance from previous prime (13306727873) and next prime (13306727887).

It can be written as a sum of positive squares in 4 ways, for example, as 9825963876 + 3480764004 = 99126^2 + 58998^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13306727887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281017 + ... + 324936.

Almost surely, 213306727880 is an apocalyptic number.

13306727880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13306727880 is an abundant number, since it is smaller than the sum of its proper divisors (30649175280).

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

13306727880 is a wasteful number, since it uses less digits than its factorization.

13306727880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606031 (or 606024 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13306727880 in words is "thirteen billion, three hundred six million, seven hundred twenty-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 605953 1211906 1817859 2423812 3029765 3635718 4847624 5453577 6059530 7271436 9089295 10907154 12119060 14542872 18178590 21814308 24238120 27267885 36357180 36963133 43628616 54535770 72714360 73926266 109071540 110889399 147852532 184815665 218143080 221778798 295705064 332668197 369631330 443557596 554446995 665336394 739262660 887115192 1108893990 1330672788 1478525320 1663340985 2217787980 2661345576 3326681970 4435575960 6653363940 13306727880