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5146565116 = 2271127320809
BaseRepresentation
bin1001100101100001…
…00101100111111100
3111021200011121002211
410302300211213330
541020010040431
62210404430204
7241352040010
oct46260454774
914250147084
105146565116
112201113600
12bb76a8364
13640327204
1436b734540
15201c582b1
hex132c259fc

5146565116 has 72 divisors (see below), whose sum is σ = 11469473120. Its totient is φ = 1977592320.

The previous prime is 5146565107. The next prime is 5146565117. The reversal of 5146565116 is 6115656415.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146565117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 236920 + ... + 257728.

Almost surely, 25146565116 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 5146565116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734736560).

5146565116 is an abundant number, since it is smaller than the sum of its proper divisors (6322908004).

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

5146565116 is a wasteful number, since it uses less digits than its factorization.

5146565116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20915 (or 20902 counting only the distinct ones).

The product of its digits is 108000, while the sum is 40.

The square root of 5146565116 is about 71739.5645094114. The cubic root of 5146565116 is about 1726.5234867999.

The spelling of 5146565116 in words is "five billion, one hundred forty-six million, five hundred sixty-five thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 73 77 121 146 154 242 292 308 484 511 803 847 1022 1606 1694 2044 3212 3388 5621 8833 11242 17666 20809 22484 35332 41618 61831 83236 123662 145663 228899 247324 291326 457798 582652 915596 1519057 1602293 2517889 3038114 3204586 5035778 6076228 6409172 10071556 10633399 16709627 17625223 21266798 33419254 35250446 42533596 66838508 70500892 116967389 183805897 233934778 367611794 467869556 735223588 1286641279 2573282558 5146565116