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11024580004 = 2247211172
BaseRepresentation
bin10100100010001110…
…11011110110100100
31001110022200200122221
422101013123312210
5140034243030004
65021543002124
7540125245444
oct122107336644
931408620587
1011024580004
1147480a7149
122178139344
131069052629
1476826c124
15447ce7354
hex2911dbda4

11024580004 has 27 divisors (see below), whose sum is σ = 19729901793. Its totient is φ = 5390177328.

The previous prime is 11024580001. The next prime is 11024580013. The reversal of 11024580004 is 40008542011.

The square root of 11024580004 is 104998.

It is a perfect power (a square), and thus also a powerful number.

11024580004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 487968100 + 10536611904 = 22090^2 + 102648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11024580001) 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 8 ways as a sum of consecutive naturals, for example, 9869254 + ... + 9870370.

Almost surely, 211024580004 is an apocalyptic number.

11024580004 is the 104998-th square number.

It is an amenable number.

11024580004 is a deficient number, since it is larger than the sum of its proper divisors (8705321789).

11024580004 is an frugal number, since it uses more digits than its factorization.

11024580004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Multiplying 11024580004 by its sum of digits (25), we get a square (275614500100 = 5249902).

The spelling of 11024580004 in words is "eleven billion, twenty-four million, five hundred eighty thousand, four".

Divisors: 1 2 4 47 94 188 1117 2209 2234 4418 4468 8836 52499 104998 209996 1247689 2467453 2495378 4934906 4990756 9869812 58641383 117282766 234565532 2756145001 5512290002 11024580004