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12638619042 = 23710125711593
BaseRepresentation
bin10111100010101001…
…00000010110100010
31012121210210100222120
423301110200112202
5201340441302132
65450041245110
7625124326560
oct136124402642
935553710876
1012638619042
1153a6197605
122548793796
13126556250a
1487c778a30
154de86b02c
hex2f15205a2

12638619042 has 64 divisors (see below), whose sum is σ = 29290339584. Its totient is φ = 3561062400.

The previous prime is 12638619029. The next prime is 12638619047. The reversal of 12638619042 is 24091683621.

12638619042 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12638618985 and 12638619003.

It is not an unprimeable number, because it can be changed into a prime (12638619047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084398 + ... + 1095990.

It is an arithmetic number, because the mean of its divisors is an integer number (457661556).

Almost surely, 212638619042 is an apocalyptic number.

12638619042 is an abundant number, since it is smaller than the sum of its proper divisors (16651720542).

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

12638619042 is a wasteful number, since it uses less digits than its factorization.

12638619042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963.

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 12638619042 in words is "twelve billion, six hundred thirty-eight million, six hundred nineteen thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 101 202 257 303 514 606 707 771 1414 1542 1799 2121 3598 4242 5397 10794 11593 23186 25957 34779 51914 69558 77871 81151 155742 162302 181699 243453 363398 486906 545097 1090194 1170893 2341786 2979401 3512679 5958802 7025358 8196251 8938203 16392502 17876406 20855807 24588753 41711614 49177506 62567421 125134842 300919501 601839002 902758503 1805517006 2106436507 4212873014 6319309521 12638619042