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5166700605 = 3251121755817
BaseRepresentation
bin1001100111111010…
…11001100000111101
3111100002001120210200
410303331121200331
541040133404410
62212404154113
7242015142033
oct46375314075
914302046720
105166700605
112211516700
121002398939
136445571c1
14370296553
152038d43c0
hex133f5983d

5166700605 has 72 divisors (see below), whose sum is σ = 10423006776. Its totient is φ = 2357667840.

The previous prime is 5166700507. The next prime is 5166700621. The reversal of 5166700605 is 5060076615.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2739266244 + 2427434361 = 52338^2 + 49269^2 .

It is not a de Polignac number, because 5166700605 - 213 = 5166692413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5166700605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64657 + ... + 120473.

It is an arithmetic number, because the mean of its divisors is an integer number (144763983).

Almost surely, 25166700605 is an apocalyptic number.

5166700605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5166700605 is an abundant number, since it is smaller than the sum of its proper divisors (5256306171).

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

5166700605 is a wasteful number, since it uses less digits than its factorization.

5166700605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55867 (or 55853 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5166700605 is about 71879.7649203168. The cubic root of 5166700605 is about 1728.7721811312.

The spelling of 5166700605 in words is "five billion, one hundred sixty-six million, seven hundred thousand, six hundred five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 121 153 165 187 255 363 495 561 605 765 935 1089 1683 1815 2057 2805 5445 6171 8415 10285 18513 30855 55817 92565 167451 279085 502353 613987 837255 948889 1841961 2511765 2846667 3069935 4744445 5525883 6753857 8540001 9209805 10437779 14233335 20261571 27629415 31313337 33769285 42700005 52188895 60784713 93940011 101307855 114815569 156566685 303923565 344446707 469700055 574077845 1033340121 1722233535 5166700605