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11638473220 = 22511317397241
BaseRepresentation
bin10101101011011010…
…10000001000000100
31010001002211200211201
422311231100020010
5142313422120340
65202512512244
7561261250543
oct126555201004
933032750751
1011638473220
114a32684210
12230984b684
1311362a3b5a
147c59d015a
15481b5b79a
hex2b5b50204

11638473220 has 192 divisors, whose sum is σ = 28304381952. Its totient is φ = 3981312000.

The previous prime is 11638473157. The next prime is 11638473221. The reversal of 11638473220 is 2237483611.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11638473220.

It is not an unprimeable number, because it can be changed into a prime (11638473221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48292300 + ... + 48292540.

It is an arithmetic number, because the mean of its divisors is an integer number (147418656).

Almost surely, 211638473220 is an apocalyptic number.

11638473220 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 11638473220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152190976).

11638473220 is an abundant number, since it is smaller than the sum of its proper divisors (16665908732).

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

11638473220 is a wasteful number, since it uses less digits than its factorization.

11638473220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 11638473220 in words is "eleven billion, six hundred thirty-eight million, four hundred seventy-three thousand, two hundred twenty".