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8138392056 = 2334193121323
BaseRepresentation
bin1111001010001011…
…00000000111111000
3210000011211011010000
413211011200013320
5113131412021211
63423321553000
7405451122354
oct74505400770
923004734100
108138392056
1134a6a01453
1216b1645760
139c9109602
14572c10464
15329735656
hex1e51601f8

8138392056 has 160 divisors (see below), whose sum is σ = 24769958400. Its totient is φ = 2486998080.

The previous prime is 8138392001. The next prime is 8138392103. The reversal of 8138392056 is 6502938318.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371011 + ... + 392333.

It is an arithmetic number, because the mean of its divisors is an integer number (154812240).

Almost surely, 28138392056 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 8138392056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384979200).

8138392056 is an abundant number, since it is smaller than the sum of its proper divisors (16631566344).

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

8138392056 is a wasteful number, since it uses less digits than its factorization.

8138392056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21391 (or 21378 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8138392056 is about 90213.0370622783. The cubic root of 8138392056 is about 2011.4668019151.

The spelling of 8138392056 in words is "eight billion, one hundred thirty-eight million, three hundred ninety-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 81 93 108 114 124 152 162 171 186 216 228 248 279 324 342 372 456 513 558 589 648 684 744 837 1026 1116 1178 1368 1539 1674 1767 2052 2232 2356 2511 3078 3348 3534 4104 4712 5022 5301 6156 6696 7068 10044 10602 12312 14136 15903 20088 21204 21323 31806 42408 42646 47709 63612 63969 85292 95418 127224 127938 170584 190836 191907 255876 381672 383814 405137 511752 575721 661013 767628 810274 1151442 1215411 1322026 1535256 1620548 1727163 1983039 2302884 2430822 2644052 3241096 3454326 3646233 3966078 4605768 4861644 5288104 5949117 6908652 7292466 7932156 9723288 10938699 11898234 12559247 13817304 14584932 15864312 17847351 21877398 23796468 25118494 29169864 32816097 35694702 37677741 43754796 47592936 50236988 53542053 65632194 71389404 75355482 87509592 100473976 107084106 113033223 131264388 142778808 150710964 214168212 226066446 262528776 301421928 339099669 428336424 452132892 678199338 904265784 1017299007 1356398676 2034598014 2712797352 4069196028 8138392056