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11213327776 = 25727151357
BaseRepresentation
bin10100111000101110…
…11100110110100000
31001221110212001221011
422130113130312200
5140431102442101
65052404310304
7544606466500
oct123427346640
931843761834
1011213327776
1148346a4142
12220b3a2394
13109919a0c1
14785361a00
1545967c751
hex29c5dcda0

11213327776 has 36 divisors (see below), whose sum is σ = 25680526578. Its totient is φ = 4805711232.

The previous prime is 11213327743. The next prime is 11213327791. The reversal of 11213327776 is 67772331211.

11213327776 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., 10530864400 + 682463376 = 102620^2 + 26124^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3574111 + ... + 3577246.

Almost surely, 211213327776 is an apocalyptic number.

11213327776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11213327776 is an abundant number, since it is smaller than the sum of its proper divisors (14467198802).

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

11213327776 is an equidigital number, since it uses as much as digits as its factorization.

11213327776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7151381 (or 7151366 counting only the distinct ones).

The product of its digits is 74088, while the sum is 40.

Adding to 11213327776 its reverse (67772331211), we get a palindrome (78985658987).

The spelling of 11213327776 in words is "eleven billion, two hundred thirteen million, three hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 7151357 14302714 28605428 50059499 57210856 100118998 114421712 200237996 228843424 350416493 400475992 700832986 800951984 1401665972 1601903968 2803331944 5606663888 11213327776