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5106010608 = 243418772099
BaseRepresentation
bin1001100000101011…
…11000100111110000
3111011211212012210000
410300111320213300
540424114314413
62202355310000
7240350242206
oct46025704760
914154765700
105106010608
112190234386
12ba5bab300
13634ac816a
143661b9076
151ed3e7073
hex1305789f0

5106010608 has 100 divisors (see below), whose sum is σ = 14793193800. Its totient is φ = 1700286336.

The previous prime is 5106010601. The next prime is 5106010667. The reversal of 5106010608 is 8060106015.

5106010608 is a `hidden beast` number, since 51 + 0 + 6 + 0 + 1 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106010601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2431543 + ... + 2433641.

It is an arithmetic number, because the mean of its divisors is an integer number (147931938).

Almost surely, 25106010608 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 5106010608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396596900).

5106010608 is an abundant number, since it is smaller than the sum of its proper divisors (9687183192).

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

5106010608 is a wasteful number, since it uses less digits than its factorization.

5106010608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5106010608 is about 71456.3545669663. The cubic root of 5106010608 is about 1721.9765685360.

The spelling of 5106010608 in words is "five billion, one hundred six million, ten thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1877 2099 3754 4198 5631 6297 7508 8396 11262 12594 15016 16792 16893 18891 22524 25188 30032 33584 33786 37782 45048 50376 50679 56673 67572 75564 90096 100752 101358 113346 135144 151128 152037 170019 202716 226692 270288 302256 304074 340038 405432 453384 608148 680076 810864 906768 1216296 1360152 2432592 2720304 3939823 7879646 11819469 15759292 23638938 31518584 35458407 47277876 63037168 70916814 94555752 106375221 141833628 189111504 212750442 283667256 319125663 425500884 567334512 638251326 851001768 1276502652 1702003536 2553005304 5106010608