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2438150288106 = 23131913811191293
BaseRepresentation
bin100011011110101101000…
…101001111001011101010
322122002021212220122202110
4203132231011033023222
5304421312433204411
65104023142143150
7341102431334601
oct43365505171352
98562255818673
102438150288106
11860017303305
12334643721ab6
13148bbb97a990
14860156c6a38
154364dcd52a6
hex237ad14f2ea

2438150288106 has 64 divisors (see below), whose sum is σ = 5531797514880. Its totient is φ = 710200638720.

The previous prime is 2438150288089. The next prime is 2438150288117. The reversal of 2438150288106 is 6018820518342.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1450996 + ... + 2642288.

It is an arithmetic number, because the mean of its divisors is an integer number (86434336170).

Almost surely, 22438150288106 is an apocalyptic number.

2438150288106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2438150288106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765898757440).

2438150288106 is an abundant number, since it is smaller than the sum of its proper divisors (3093647226774).

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

2438150288106 is a wasteful number, since it uses less digits than its factorization.

2438150288106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192711.

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 2438150288106 in words is "two trillion, four hundred thirty-eight billion, one hundred fifty million, two hundred eighty-eight thousand, one hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1381 1482 2762 4143 8286 17953 26239 35906 52478 53859 78717 107718 157434 341107 682214 1023321 1191293 2046642 2382586 3573879 7147758 15486809 22634567 30973618 45269134 46460427 67903701 92920854 135807402 294249371 588498742 882748113 1645175633 1765496226 3290351266 4935526899 9871053798 21387283229 31258337027 42774566458 62516674054 64161849687 93775011081 128323699374 187550022162 406358381351 812716762702 1219075144053 2438150288106