Search a number
-
+
8106339942 = 2321771794723
BaseRepresentation
bin1111000110010110…
…01110111001100110
3202220221111201212200
413203023032321212
5113100210334232
63420214555330
7404611516101
oct74313167146
922827451780
108106339942
11348a8aa1a8
1216a2968b46
139c259656c
1456c869738
15326a0377c
hex1e32cee66

8106339942 has 96 divisors (see below), whose sum is σ = 19101588480. Its totient is φ = 2475083520.

The previous prime is 8106339937. The next prime is 8106339971. The reversal of 8106339942 is 2499336018.

It is a happy number.

8106339942 is a `hidden beast` number, since 8 + 1 + 0 + 633 + 9 + 9 + 4 + 2 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1713993 + ... + 1718715.

It is an arithmetic number, because the mean of its divisors is an integer number (198974880).

Almost surely, 28106339942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8106339942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9550794240).

8106339942 is an abundant number, since it is smaller than the sum of its proper divisors (10995248538).

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

8106339942 is a wasteful number, since it uses less digits than its factorization.

8106339942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 8106339942 is about 90035.2150105724. The cubic root of 8106339942 is about 2008.8226847208.

The spelling of 8106339942 in words is "eight billion, one hundred six million, three hundred thirty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 71 79 102 142 153 158 213 237 306 426 474 639 711 1207 1278 1343 1422 2414 2686 3621 4029 4723 5609 7242 8058 9446 10863 11218 12087 14169 16827 21726 24174 28338 33654 42507 50481 80291 85014 95353 100962 160582 190706 240873 286059 335333 373117 481746 572118 670666 722619 746234 858177 1005999 1119351 1445238 1716354 2011998 2238702 3017997 3358053 5700661 6035994 6342989 6716106 11401322 12685978 17101983 19028967 26491307 34203966 38057934 51305949 52982614 57086901 79473921 102611898 114173802 158947842 238421763 450352219 476843526 900704438 1351056657 2702113314 4053169971 8106339942