Search a number
-
+
510056000077 = 13892775692797
BaseRepresentation
bin1110110110000011011…
…01001110101001001101
31210202112200100110000211
413123001231032221031
531324043314000302
61030152210122421
751564443316001
oct7330155165115
91722480313024
10510056000077
1118734a351168
1282a28880411
1339137614690
141a9889a2701
15d4038a3ad7
hex76c1b4ea4d

510056000077 has 32 divisors (see below), whose sum is σ = 558647560800. Its totient is φ = 462869434368.

The previous prime is 510056000071. The next prime is 510056000099. The reversal of 510056000077 is 770000650015.

It can be written as a sum of positive squares in 16 ways, for example, as 357166397956 + 152889602121 = 597634^2 + 391011^2 .

It is a cyclic number.

It is not a de Polignac number, because 510056000077 - 27 = 510055999949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510056000071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182356843 + ... + 182359639.

It is an arithmetic number, because the mean of its divisors is an integer number (17457736275).

Almost surely, 2510056000077 is an apocalyptic number.

It is an amenable number.

510056000077 is a deficient number, since it is larger than the sum of its proper divisors (48591560723).

510056000077 is a wasteful number, since it uses less digits than its factorization.

510056000077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745.

The product of its (nonzero) digits is 7350, while the sum is 31.

The spelling of 510056000077 in words is "five hundred ten billion, fifty-six million, seventy-seven", and thus it is an aban number.

Divisors: 1 13 89 277 569 1157 2797 3601 7397 24653 36361 50641 157613 248933 320489 658333 774769 1591493 2048969 3236129 10071997 14027557 20689409 68954441 141642877 182358241 440843561 896407733 1841357401 5730966293 39235076929 510056000077