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12627556242 = 2371735350101
BaseRepresentation
bin10111100001010100…
…10011011110010010
31012121000222022200020
423300222103132102
5201330123244432
65445004204310
7624631312530
oct136052233622
935530868606
1012627556242
11539aa209a4
122544b39696
13126318ac92
1487b0d9150
154dd8d322c
hex2f0a93792

12627556242 has 64 divisors (see below), whose sum is σ = 30647994624. Its totient is φ = 3385958400.

The previous prime is 12627556231. The next prime is 12627556267. The reversal of 12627556242 is 24265572621.

12627556242 is digitally balanced in base 2, 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 = 12627556194 and 12627556203.

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 31 ways as a sum of consecutive naturals, for example, 226992 + ... + 277092.

It is an arithmetic number, because the mean of its divisors is an integer number (478874916).

Almost surely, 212627556242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12627556242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15323997312).

12627556242 is an abundant number, since it is smaller than the sum of its proper divisors (18020438382).

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

12627556242 is a wasteful number, since it uses less digits than its factorization.

12627556242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50483.

The product of its digits is 403200, while the sum is 42.

The spelling of 12627556242 in words is "twelve billion, six hundred twenty-seven million, five hundred fifty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 353 357 706 714 1059 2118 2471 4942 6001 7413 12002 14826 18003 36006 42007 50101 84014 100202 126021 150303 252042 300606 350707 701414 851717 1052121 1703434 2104242 2555151 5110302 5962019 11924038 17685653 17886057 35371306 35772114 53056959 106113918 123799571 247599142 300656101 371398713 601312202 742797426 901968303 1803936606 2104592707 4209185414 6313778121 12627556242