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5084058528 = 253331189817
BaseRepresentation
bin1001011110000100…
…01001001110100000
3111010022112221012000
410233002021032200
540403004333103
62200253004000
7236662533033
oct45702111640
914108487160
105084058528
11217990046a
12b9a783600
136303b0373
1436330301a
151eb50caa3
hex12f0893a0

5084058528 has 96 divisors (see below), whose sum is σ = 15306923520. Its totient is φ = 1640010240.

The previous prime is 5084058491. The next prime is 5084058569. The reversal of 5084058528 is 8258504805.

5084058528 is a `hidden beast` number, since 5 + 0 + 8 + 40 + 585 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×50840585282 = 51695302232259053568, which contains 22 as substring.

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, 68125 + ... + 121692.

It is an arithmetic number, because the mean of its divisors is an integer number (159447120).

Almost surely, 25084058528 is an apocalyptic number.

It is an amenable number.

5084058528 is an abundant number, since it is smaller than the sum of its proper divisors (10222864992).

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

5084058528 is a wasteful number, since it uses less digits than its factorization.

5084058528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189867 (or 189853 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The square root of 5084058528 is about 71302.5843009915. The cubic root of 5084058528 is about 1719.5052804697.

The spelling of 5084058528 in words is "five billion, eighty-four million, fifty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 189817 379634 569451 759268 1138902 1518536 1708353 2277804 3037072 3416706 4555608 5125059 5884327 6074144 6833412 9111216 10250118 11768654 13666824 17652981 18222432 20500236 23537308 27333648 35305962 41000472 47074616 52958943 54667296 70611924 82000944 94149232 105917886 141223848 158876829 164001888 188298464 211835772 282447696 317753658 423671544 564895392 635507316 847343088 1271014632 1694686176 2542029264 5084058528