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5022468160 = 265149105337
BaseRepresentation
bin1001010110101110…
…01100100001000000
3110222000122211002021
410223113030201000
540241222440120
62150212531224
7235314163213
oct45327144100
913860584067
105022468160
112148063736
12b82020b14
136206c7568
1435906d77a
151e5de3aaa
hex12b5cc840

5022468160 has 56 divisors (see below), whose sum is σ = 12040133400. Its totient is φ = 1995485184.

The previous prime is 5022468149. The next prime is 5022468167. The reversal of 5022468160 is 618642205.

It can be written as a sum of positive squares in 4 ways, for example, as 902882304 + 4119585856 = 30048^2 + 64184^2 .

It is not an unprimeable number, because it can be changed into a prime (5022468167) 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, 4989 + ... + 100348.

Almost surely, 25022468160 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 5022468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020066700).

5022468160 is an abundant number, since it is smaller than the sum of its proper divisors (7017665240).

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

5022468160 is a wasteful number, since it uses less digits than its factorization.

5022468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105503 (or 105493 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 5022468160 is about 70869.3739213209. The cubic root of 5022468160 is about 1712.5334538726.

The spelling of 5022468160 in words is "five billion, twenty-two million, four hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 149 160 298 320 596 745 1192 1490 2384 2980 4768 5960 9536 11920 23840 47680 105337 210674 421348 526685 842696 1053370 1685392 2106740 3370784 4213480 6741568 8426960 15695213 16853920 31390426 33707840 62780852 78476065 125561704 156952130 251123408 313904260 502246816 627808520 1004493632 1255617040 2511234080 5022468160