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11264649396 = 223721121319641
BaseRepresentation
bin10100111110110110…
…01110100010110100
31002002001102110221220
422133123032202310
5141032222240041
65101440310340
7546101640300
oct123733164264
932061373856
1011264649396
114860667900
1222246123b0
1310a69c8c20
1478c0c0d00
1545de18d66
hex29f6ce8b4

11264649396 has 432 divisors, whose sum is σ = 38157295680. Its totient is φ = 2554675200.

The previous prime is 11264649391. The next prime is 11264649401. The reversal of 11264649396 is 69394646211.

It is an interprime number because it is at equal distance from previous prime (11264649391) and next prime (11264649401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264649391) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 17573236 + ... + 17573876.

Almost surely, 211264649396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11264649396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078647840).

11264649396 is an abundant number, since it is smaller than the sum of its proper divisors (26892646284).

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

11264649396 is a wasteful number, since it uses less digits than its factorization.

11264649396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 696 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The spelling of 11264649396 in words is "eleven billion, two hundred sixty-four million, six hundred forty-nine thousand, three hundred ninety-six".