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8725823264 = 251917980177
BaseRepresentation
bin10000010000001100…
…10111111100100000
3211112010011202020102
420020012113330200
5120332302321024
64001504401532
7426143162654
oct101006277440
924463152212
108725823264
113778555194
1218363162a8
13a90a24342
145cac44a64
153610be1ae
hex208197f20

8725823264 has 48 divisors (see below), whose sum is σ = 18184370400. Its totient is φ = 4110142464.

The previous prime is 8725823233. The next prime is 8725823269. The reversal of 8725823264 is 4623285278.

It is a super-2 number, since 2×87258232642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8725823269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68744 + ... + 148920.

It is an arithmetic number, because the mean of its divisors is an integer number (378841050).

Almost surely, 28725823264 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 8725823264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092185200).

8725823264 is an abundant number, since it is smaller than the sum of its proper divisors (9458547136).

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

8725823264 is a wasteful number, since it uses less digits than its factorization.

8725823264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80385 (or 80377 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 47.

The square root of 8725823264 is about 93412.1151885557. The cubic root of 8725823264 is about 2058.7430091924.

The spelling of 8725823264 in words is "eight billion, seven hundred twenty-five million, eight hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 179 304 358 608 716 1432 2864 3401 5728 6802 13604 27208 54416 80177 108832 160354 320708 641416 1282832 1523363 2565664 3046726 6093452 12186904 14351683 24373808 28703366 48747616 57406732 114813464 229626928 272681977 459253856 545363954 1090727908 2181455816 4362911632 8725823264