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5106420468 = 223619374753
BaseRepresentation
bin1001100000101110…
…11100101011110100
3111011212122001000000
410300113130223310
540424220423333
62202412151300
7240353600142
oct46027345364
914155561000
105106420468
112190494306
12ba6168530
13634c0c896
14366284592
151ed478713
hex1305dcaf4

5106420468 has 336 divisors, whose sum is σ = 15071857920. Its totient is φ = 1506615552.

The previous prime is 5106420467. The next prime is 5106420469. The reversal of 5106420468 is 8640246015.

5106420468 is a `hidden beast` number, since 5 + 1 + 0 + 642 + 0 + 4 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5106420467) and next prime (5106420469).

It is a super-3 number, since 3×51064204683 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106420467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 96347530 + ... + 96347582.

It is an arithmetic number, because the mean of its divisors is an integer number (44856720).

Almost surely, 25106420468 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 5106420468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535928960).

5106420468 is an abundant number, since it is smaller than the sum of its proper divisors (9965437452).

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

5106420468 is a wasteful number, since it uses less digits than its factorization.

5106420468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5106420468 is about 71459.2224139054. Note that the first 3 decimals coincide. The cubic root of 5106420468 is about 1722.0226417157.

The spelling of 5106420468 in words is "five billion, one hundred six million, four hundred twenty thousand, four hundred sixty-eight".