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5018364064 = 25771973253
BaseRepresentation
bin1001010110001111…
…00010100010100000
3110221201221022022201
410223013202202200
540234200122224
62145544542544
7235234251010
oct45307424240
913851838281
105018364064
11214581021a
12b80781a54
1361c8bb4bc
143586c1c40
151e5882a44
hex12b1e28a0

5018364064 has 96 divisors (see below), whose sum is σ = 11571952896. Its totient is φ = 2097930240.

The previous prime is 5018364059. The next prime is 5018364097. The reversal of 5018364064 is 4604638105.

It is a happy number.

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, 1541062 + ... + 1544314.

It is an arithmetic number, because the mean of its divisors is an integer number (120541176).

Almost surely, 25018364064 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 5018364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785976448).

5018364064 is an abundant number, since it is smaller than the sum of its proper divisors (6553588832).

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

5018364064 is a wasteful number, since it uses less digits than its factorization.

5018364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 5018364064 is about 70840.4126470195. The cubic root of 5018364064 is about 1712.0668627626.

The spelling of 5018364064 in words is "five billion, eighteen million, three hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 97 112 142 194 224 284 388 497 568 679 776 994 1136 1358 1552 1988 2272 2716 3104 3253 3976 5432 6506 6887 7952 10864 13012 13774 15904 21728 22771 26024 27548 45542 48209 52048 55096 91084 96418 104096 110192 182168 192836 220384 230963 315541 364336 385672 461926 631082 728672 771344 923852 1262164 1542688 1616741 1847704 2208787 2524328 3233482 3695408 4417574 5048656 6466964 7390816 8835148 10097312 12933928 17670296 22403411 25867856 35340592 44806822 51735712 70681184 89613644 156823877 179227288 313647754 358454576 627295508 716909152 1254591016 2509182032 5018364064