Search a number
-
+
106408707808 = 25131397692393
BaseRepresentation
bin110001100011001110…
…1000000011011100000
3101011122210202102122011
41203012131000123200
53220411112122213
6120514455522304
710454623043554
oct1430635003340
9334583672564
10106408707808
1141144a3a137
1218758089394
13a05a478440
14521625d864
152b7bba603d
hex18c67406e0

106408707808 has 96 divisors (see below), whose sum is σ = 227620562400. Its totient is φ = 48674635776.

The previous prime is 106408707799. The next prime is 106408707809. The reversal of 106408707808 is 808707804601.

It is a super-2 number, since 2×1064087078082 (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 (106408707809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44465460 + ... + 44467852.

It is an arithmetic number, because the mean of its divisors is an integer number (2371047525).

Almost surely, 2106408707808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106408707808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113810281200).

106408707808 is an abundant number, since it is smaller than the sum of its proper divisors (121211854592).

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

106408707808 is a wasteful number, since it uses less digits than its factorization.

106408707808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The spelling of 106408707808 in words is "one hundred six billion, four hundred eight million, seven hundred seven thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 139 208 278 416 556 769 1112 1538 1807 2224 2393 3076 3614 4448 4786 6152 7228 9572 9997 12304 14456 19144 19994 24608 28912 31109 38288 39988 57824 62218 76576 79976 106891 124436 159952 213782 248872 319904 332627 427564 497744 665254 855128 995488 1330508 1389583 1710256 1840217 2661016 2779166 3420512 3680434 4324151 5322032 5558332 7360868 8648302 10644064 11116664 14721736 17296604 22233328 23922821 29443472 34593208 44466656 47845642 58886944 69186416 95691284 138372832 191382568 255790163 382765136 511580326 765530272 1023160652 2046321304 3325272119 4092642608 6650544238 8185285216 13301088476 26602176952 53204353904 106408707808