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8068434136 = 23710311312379
BaseRepresentation
bin1111000001110101…
…01000100011011000
3202211022011220212221
413200322220203120
5113011004343021
63412342313424
7403641362410
oct74072504330
922738156787
108068434136
113470469a94
121692128874
139b7783ca9
145677dd640
15323517241
hex1e0ea88d8

8068434136 has 64 divisors (see below), whose sum is σ = 17613273600. Its totient is φ = 3393750528.

The previous prime is 8068434131. The next prime is 8068434217. The reversal of 8068434136 is 6314348608.

It is a junction number, because it is equal to n+sod(n) for n = 8068434092 and 8068434101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8068434131) 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, 645595 + ... + 657973.

It is an arithmetic number, because the mean of its divisors is an integer number (275207400).

Almost surely, 28068434136 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 8068434136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806636800).

8068434136 is an abundant number, since it is smaller than the sum of its proper divisors (9544839464).

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

8068434136 is a wasteful number, since it uses less digits than its factorization.

8068434136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12608 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 8068434136 is about 89824.4629040441. The cubic root of 8068434136 is about 2005.6866602894.

The spelling of 8068434136 in words is "eight billion, sixty-eight million, four hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 103 113 206 226 412 452 721 791 824 904 1442 1582 2884 3164 5768 6328 11639 12379 23278 24758 46556 49516 81473 86653 93112 99032 162946 173306 325892 346612 651784 693224 1275037 1398827 2550074 2797654 5100148 5595308 8925259 9791789 10200296 11190616 17850518 19583578 35701036 39167156 71402072 78334312 144079181 288158362 576316724 1008554267 1152633448 2017108534 4034217068 8068434136