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11215550640 = 2435773109839
BaseRepresentation
bin10100111000111111…
…11011100010110000
31001221122001000010110
422130133323202300
5140432140110030
65052524101320
7544634415240
oct123437734260
931848030113
1011215550640
114835982218
122210094840
131099797ac8
1478577db20
1545996b1b0
hex29c7fb8b0

11215550640 has 320 divisors, whose sum is σ = 40697395200. Its totient is φ = 2502254592.

The previous prime is 11215550611. The next prime is 11215550663. The reversal of 11215550640 is 4605551211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11215550598 and 11215550607.

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 63 ways as a sum of consecutive naturals, for example, 13367341 + ... + 13368179.

It is an arithmetic number, because the mean of its divisors is an integer number (127179360).

Almost surely, 211215550640 is an apocalyptic number.

11215550640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11215550640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20348697600).

11215550640 is an abundant number, since it is smaller than the sum of its proper divisors (29481844560).

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

11215550640 is a wasteful number, since it uses less digits than its factorization.

11215550640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 11215550640 in words is "eleven billion, two hundred fifteen million, five hundred fifty thousand, six hundred forty".