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7441106706 = 23211109557619
BaseRepresentation
bin1101110111000011…
…00100011100010010
3201012120202101102200
412323201210130102
5110214410403311
63230212424030
7352253235435
oct67341443422
921176671380
107441106706
113179346670
121538018016
1391780aa27
1450838181c
152d83ec556
hex1bb864712

7441106706 has 96 divisors (see below), whose sum is σ = 17810020800. Its totient is φ = 2226579840.

The previous prime is 7441106683. The next prime is 7441106753. The reversal of 7441106706 is 6076011447.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12020865 + ... + 12021483.

It is an arithmetic number, because the mean of its divisors is an integer number (185521050).

Almost surely, 27441106706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7441106706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905010400).

7441106706 is an abundant number, since it is smaller than the sum of its proper divisors (10368914094).

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

7441106706 is a wasteful number, since it uses less digits than its factorization.

7441106706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7441106706 is about 86261.8496555691. The cubic root of 7441106706 is about 1952.2968076467.

The spelling of 7441106706 in words is "seven billion, four hundred forty-one million, one hundred six thousand, seven hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 198 218 327 557 619 654 981 1114 1199 1238 1671 1857 1962 2398 3342 3597 3714 5013 5571 6127 6809 7194 10026 10791 11142 12254 13618 18381 20427 21582 36762 40854 55143 60713 61281 67471 110286 121426 122562 134942 182139 202413 344783 364278 404826 546417 607239 667843 689566 742181 1034349 1092834 1214478 1335686 1484362 2003529 2068698 2226543 3103047 3792613 4007058 4453086 6010587 6206094 6679629 7585226 11377839 12021174 13359258 22755678 34133517 37581347 68267034 75162694 112744041 225488082 338232123 413394817 676464246 826789634 1240184451 2480368902 3720553353 7441106706