Search a number
-
+
10057207266 = 2331671115237
BaseRepresentation
bin10010101110111010…
…01100110111100010
3221221220102001202000
421113131030313202
5131044121113031
64341544504430
7504140564661
oct112735146742
927856361660
1010057207266
1142a1038747
121b4817b116
13c437ca222
146b59b4dd8
153dce0d3e6
hex25774cde2

10057207266 has 32 divisors (see below), whose sum is σ = 22483198080. Its totient is φ = 3332325168.

The previous prime is 10057207249. The next prime is 10057207339. The reversal of 10057207266 is 66270275001.

10057207266 is a `hidden beast` number, since 10 + 0 + 572 + 0 + 72 + 6 + 6 = 666.

It is a super-2 number, since 2×100572072662 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10057207266.

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 15 ways as a sum of consecutive naturals, for example, 548601 + ... + 566636.

It is an arithmetic number, because the mean of its divisors is an integer number (702599940).

Almost surely, 210057207266 is an apocalyptic number.

10057207266 is an abundant number, since it is smaller than the sum of its proper divisors (12425990814).

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

10057207266 is a wasteful number, since it uses less digits than its factorization.

10057207266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115415 (or 1115409 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10057207266 in words is "ten billion, fifty-seven million, two hundred seven thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 167 334 501 1002 1503 3006 4509 9018 1115237 2230474 3345711 6691422 10037133 20074266 30111399 60222798 186244579 372489158 558733737 1117467474 1676201211 3352402422 5028603633 10057207266