Search a number
-
+
106949081748 = 223233793102161
BaseRepresentation
bin110001110011010101…
…0010111101010010100
3101020001110120021022210
41203212222113222110
53223012431103443
6121044241553420
710504204124025
oct1434652275224
9336043507283
10106949081748
11413a1a72073
1218889045870
13a1153c8332
145267d24c4c
152bae346c33
hex18e6a97a94

106949081748 has 48 divisors (see below), whose sum is σ = 260468966016. Its totient is φ = 34090383360.

The previous prime is 106949081747. The next prime is 106949081753. The reversal of 106949081748 is 847180949601.

It is a happy number.

It is a super-2 number, since 2×1069490817482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106949081747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995788 + ... + 1097948.

It is an arithmetic number, because the mean of its divisors is an integer number (5426436792).

Almost surely, 2106949081748 is an apocalyptic number.

It is an amenable number.

106949081748 is an abundant number, since it is smaller than the sum of its proper divisors (153519884268).

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

106949081748 is a wasteful number, since it uses less digits than its factorization.

106949081748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105984 (or 105982 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 106949081748 in words is "one hundred six billion, nine hundred forty-nine million, eighty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 3793 7586 11379 15172 22758 45516 87239 102161 174478 204322 261717 306483 348956 408644 523434 612966 1046868 1225932 2349703 4699406 7049109 9398812 14098218 28196436 387496673 774993346 1162490019 1549986692 2324980038 4649960076 8912423479 17824846958 26737270437 35649693916 53474540874 106949081748