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5005252776 = 2334119925561
BaseRepresentation
bin1001010100101011…
…00001100010101000
3110220211021012000110
410222111201202220
540222321042101
62144355534320
7235014642456
oct45225414250
913824235013
105005252776
112139375547
12b782ba3a0
13619c7a744
14356a6b9d6
151e4642cd6
hex12a5618a8

5005252776 has 64 divisors (see below), whose sum is σ = 12883248000. Its totient is φ = 1619481600.

The previous prime is 5005252757. The next prime is 5005252789. The reversal of 5005252776 is 6772525005.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 183036 + ... + 208596.

It is an arithmetic number, because the mean of its divisors is an integer number (201300750).

Almost surely, 25005252776 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 5005252776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441624000).

5005252776 is an abundant number, since it is smaller than the sum of its proper divisors (7877995224).

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

5005252776 is a wasteful number, since it uses less digits than its factorization.

5005252776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25810 (or 25806 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 5005252776 is about 70747.8111039487. The cubic root of 5005252776 is about 1710.5745451462.

The spelling of 5005252776 in words is "five billion, five million, two hundred fifty-two thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 199 246 328 398 492 597 796 984 1194 1592 2388 4776 8159 16318 24477 25561 32636 48954 51122 65272 76683 97908 102244 153366 195816 204488 306732 613464 1048001 2096002 3144003 4192004 5086639 6288006 8384008 10173278 12576012 15259917 20346556 25152024 30519834 40693112 61039668 122079336 208552199 417104398 625656597 834208796 1251313194 1668417592 2502626388 5005252776