Search a number
-
+
6106454706 = 23111739713709
BaseRepresentation
bin1011010111111100…
…10001101010110010
3120202120101001002010
411223332101222302
5100001223022311
62445534303350
7304216002642
oct55376215262
916676331063
106106454706
112653a30890
121225057b56
1376415c511
1441d000522
1525b164da6
hex16bf91ab2

6106454706 has 64 divisors (see below), whose sum is σ = 14143455360. Its totient is φ = 1737077760.

The previous prime is 6106454693. The next prime is 6106454719. The reversal of 6106454706 is 6074546016.

It is an interprime number because it is at equal distance from previous prime (6106454693) and next prime (6106454719).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 438580 + ... + 452288.

It is an arithmetic number, because the mean of its divisors is an integer number (220991490).

Almost surely, 26106454706 is an apocalyptic number.

6106454706 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6106454706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071727680).

6106454706 is an abundant number, since it is smaller than the sum of its proper divisors (8037000654).

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

6106454706 is a wasteful number, since it uses less digits than its factorization.

6106454706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14139.

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 6106454706 is about 78143.8078544935. The cubic root of 6106454706 is about 1827.8043786168.

The spelling of 6106454706 in words is "six billion, one hundred six million, four hundred fifty-four thousand, seven hundred six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 397 561 794 1122 1191 2382 4367 6749 8734 13101 13498 13709 20247 26202 27418 40494 41127 74239 82254 148478 150799 222717 233053 301598 445434 452397 466106 699159 904794 1398318 2563583 5127166 5442473 7690749 10884946 15381498 16327419 32654838 59867203 92522041 119734406 179601609 185044082 277566123 359203218 555132246 1017742451 2035484902 3053227353 6106454706