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5007673854 = 234613131619
BaseRepresentation
bin1001010100111101…
…10000100111111110
3110220222211012010000
410222132300213332
540223431030404
62144523455130
7235044345141
oct45236604776
913828735100
105007673854
11213a779537
12b790874a6
1361a617731
143570dc058
151e4970339
hex12a7b09fe

5007673854 has 80 divisors (see below), whose sum is σ = 11448352080. Its totient is φ = 1635603840.

The previous prime is 5007673823. The next prime is 5007673859. The reversal of 5007673854 is 4583767005.

5007673854 is a `hidden beast` number, since 500 + 7 + 67 + 3 + 85 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007673859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3092257 + ... + 3093875.

It is an arithmetic number, because the mean of its divisors is an integer number (143104401).

Almost surely, 25007673854 is an apocalyptic number.

5007673854 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5007673854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724176040).

5007673854 is an abundant number, since it is smaller than the sum of its proper divisors (6440678226).

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

5007673854 is a wasteful number, since it uses less digits than its factorization.

5007673854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5007673854 is about 70764.9196565643. The cubic root of 5007673854 is about 1710.8503065657.

The spelling of 5007673854 in words is "five billion, seven million, six hundred seventy-three thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 313 366 549 626 939 1098 1619 1647 1878 2817 3238 3294 4857 4941 5634 8451 9714 9882 14571 16902 19093 25353 29142 38186 43713 50706 57279 87426 98759 114558 131139 171837 197518 262278 296277 343674 506747 515511 592554 888831 1013494 1031022 1520241 1546533 1777662 2666493 3040482 3093066 4560723 5332986 7999479 9121446 13682169 15998958 27364338 30911567 41046507 61823134 82093014 92734701 185469402 278204103 556408206 834612309 1669224618 2503836927 5007673854