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5060066500 = 225355718169
BaseRepresentation
bin1001011011001101…
…00111110011000100
3111001122102000022101
410231212213303010
540330334112000
62154034441444
7236251566316
oct45546476304
914048360271
105060066500
112167303945
12b92733284
1362842cbb8
143600597b6
151e936de6a
hex12d9a7cc4

5060066500 has 48 divisors (see below), whose sum is σ = 11071635120. Its totient is φ = 2020281600.

The previous prime is 5060066497. The next prime is 5060066513. The reversal of 5060066500 is 56600605.

It can be written as a sum of positive squares in 8 ways, for example, as 3786433156 + 1273633344 = 61534^2 + 35688^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269416 + ... + 287584.

It is an arithmetic number, because the mean of its divisors is an integer number (230659065).

Almost surely, 25060066500 is an apocalyptic number.

5060066500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5060066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535817560).

5060066500 is an abundant number, since it is smaller than the sum of its proper divisors (6011568620).

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

5060066500 is a wasteful number, since it uses less digits than its factorization.

5060066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18745 (or 18733 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 5060066500 is about 71134.1444033735. The cubic root of 5060066500 is about 1716.7961926126.

The spelling of 5060066500 in words is "five billion, sixty million, sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 557 1114 2228 2785 5570 11140 13925 18169 27850 36338 55700 69625 72676 90845 139250 181690 278500 363380 454225 908450 1816900 2271125 4542250 9084500 10120133 20240266 40480532 50600665 101201330 202402660 253003325 506006650 1012013300 1265016625 2530033250 5060066500