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4574421864 = 233446115313
BaseRepresentation
bin1000100001010100…
…00010001101101000
3102210210120201010000
410100222002031220
533332022444424
62033525423000
7221233641615
oct42052021550
912723521100
104574421864
111a38161941
12a77b6aa60
1357b932bcc
1431575d50c
151bb8de3c9
hex110a82368

4574421864 has 80 divisors (see below), whose sum is σ = 12841248420. Its totient is φ = 1521400320.

The previous prime is 4574421853. The next prime is 4574421913. The reversal of 4574421864 is 4681244754.

4574421864 is a `hidden beast` number, since 4 + 574 + 4 + 2 + 18 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3603600900 + 970820964 = 60030^2 + 31158^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 291072 + ... + 306384.

Almost surely, 24574421864 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 4574421864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420624210).

4574421864 is an abundant number, since it is smaller than the sum of its proper divisors (8266826556).

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

4574421864 is a wasteful number, since it uses less digits than its factorization.

4574421864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15792 (or 15779 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4574421864 is about 67634.4724530324. The cubic root of 4574421864 is about 1660.0152250987.

The spelling of 4574421864 in words is "four billion, five hundred seventy-four million, four hundred twenty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 461 648 922 1383 1844 2766 3688 4149 5532 8298 11064 12447 15313 16596 24894 30626 33192 37341 45939 49788 61252 74682 91878 99576 122504 137817 149364 183756 275634 298728 367512 413451 551268 826902 1102536 1240353 1653804 2480706 3307608 4961412 7059293 9922824 14118586 21177879 28237172 42355758 56474344 63533637 84711516 127067274 169423032 190600911 254134548 381201822 508269096 571802733 762403644 1143605466 1524807288 2287210932 4574421864