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8676135168 = 28331373977
BaseRepresentation
bin10000001010010001…
…10101000100000000
3211101122200022222120
420011020311010000
5120232042311133
63552531404240
7425000634501
oct100510650400
924348608876
108676135168
1137524a7848
121821753680
13a83647bbc
145c43ccba8
1535ba56ab3
hex205235100

8676135168 has 144 divisors (see below), whose sum is σ = 23924414976. Its totient is φ = 2788392960.

The previous prime is 8676135161. The next prime is 8676135179. The reversal of 8676135168 is 8615316768.

It is a self number, because there is not a number n which added to its sum of digits gives 8676135168.

It is not an unprimeable number, because it can be changed into a prime (8676135161) 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, 8879896 + ... + 8880872.

Almost surely, 28676135168 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 8676135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11962207488).

8676135168 is an abundant number, since it is smaller than the sum of its proper divisors (15248279808).

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

8676135168 is a wasteful number, since it uses less digits than its factorization.

8676135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1386 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 8676135168 is about 93145.7737527581. The cubic root of 8676135168 is about 2054.8278177557.

The spelling of 8676135168 in words is "eight billion, six hundred seventy-six million, one hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 373 384 496 744 746 768 977 992 1119 1488 1492 1954 1984 2238 2931 2976 2984 3908 3968 4476 5862 5952 5968 7816 7936 8952 11563 11724 11904 11936 15632 17904 23126 23448 23808 23872 30287 31264 34689 35808 46252 46896 47744 60574 62528 69378 71616 90861 92504 93792 95488 121148 125056 138756 143232 181722 185008 187584 242296 250112 277512 286464 363444 364421 370016 375168 484592 555024 726888 728842 740032 750336 969184 1093263 1110048 1453776 1457684 1480064 1938368 2186526 2220096 2907552 2915368 2960128 3876736 4373052 4440192 5815104 5830736 7753472 8746104 8880384 11297051 11630208 11661472 17492208 22594102 23260416 23322944 33891153 34984416 45188204 46645888 67782306 69968832 90376408 93291776 135564612 139937664 180752816 271129224 279875328 361505632 542258448 723011264 1084516896 1446022528 2169033792 2892045056 4338067584 8676135168