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12863350638 = 23479403399
BaseRepresentation
bin10111111101011011…
…10010011101101110
31020012110122220210000
423332231302131232
5202321004210023
65524230125130
7633523450665
oct137655623556
936173586700
1012863350638
1155010317a6
1225abab07a6
13129cc987a8
148a0557ddc
1550445d243
hex2feb7276e

12863350638 has 20 divisors (see below), whose sum is σ = 28823434200. Its totient is φ = 4287783492.

The previous prime is 12863350631. The next prime is 12863350667. The reversal of 12863350638 is 83605336821.

12863350638 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 3 + 3 + 5 + 0 + 638 = 666.

It is a super-3 number, since 3×128633506383 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12863350593 and 12863350602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12863350631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39701538 + ... + 39701861.

It is an arithmetic number, because the mean of its divisors is an integer number (1441171710).

Almost surely, 212863350638 is an apocalyptic number.

12863350638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12863350638 is an abundant number, since it is smaller than the sum of its proper divisors (15960083562).

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

12863350638 is an equidigital number, since it uses as much as digits as its factorization.

12863350638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79403413 (or 79403404 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12863350638 in words is "twelve billion, eight hundred sixty-three million, three hundred fifty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 79403399 158806798 238210197 476420394 714630591 1429261182 2143891773 4287783546 6431675319 12863350638