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5435675973 = 3271316973911
BaseRepresentation
bin1010000111111110…
…11101010101000101
3112000211011221122100
411003333131111011
542113013112343
62255213222313
7251462324550
oct50377352505
915024157570
105435675973
11233a32a8a2
121078491999
136881b1820
14397cb1697
1521c3159d3
hex143fdd545

5435675973 has 48 divisors (see below), whose sum is σ = 9671590656. Its totient is φ = 2864747520.

The previous prime is 5435675969. The next prime is 5435675977. The reversal of 5435675973 is 3795765345.

5435675973 is a `hidden beast` number, since 5 + 4 + 3 + 567 + 5 + 9 + 73 = 666.

It is an interprime number because it is at equal distance from previous prime (5435675969) and next prime (5435675977).

It is not a de Polignac number, because 5435675973 - 22 = 5435675969 is a prime.

It is a Smith number, since the sum of its digits (54) 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 (5435675977) 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 47 ways as a sum of consecutive naturals, for example, 1387888 + ... + 1391798.

It is an arithmetic number, because the mean of its divisors is an integer number (201491472).

Almost surely, 25435675973 is an apocalyptic number.

It is an amenable number.

5435675973 is a deficient number, since it is larger than the sum of its proper divisors (4235914683).

5435675973 is a wasteful number, since it uses less digits than its factorization.

5435675973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5631 counting only the distinct ones).

The product of its digits is 11907000, while the sum is 54.

The square root of 5435675973 is about 73727.0369199794. The cubic root of 5435675973 is about 1758.2657647034.

The spelling of 5435675973 in words is "five billion, four hundred thirty-five million, six hundred seventy-five thousand, nine hundred seventy-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1697 3911 5091 11733 11879 15273 22061 27377 35199 35637 50843 66183 82131 106911 152529 154427 198549 246393 355901 457587 463281 1067703 1389843 3203109 6636967 19910901 46458769 59732703 86280571 139376307 258841713 418128921 603963997 776525139 1811891991 5435675973