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11327366400 = 283527271311
BaseRepresentation
bin10101000110010100…
…11110010100000000
31002020102102211111220
422203022132110000
5141144301211100
65112000435040
7550463011560
oct124312362400
932212384456
1011327366400
114893004039
122241618a80
1310b69b778c
14796568da0
154646a6aa0
hex2a329e500

11327366400 has 432 divisors, whose sum is σ = 43018579968. Its totient is φ = 2571264000.

The previous prime is 11327366387. The next prime is 11327366429. The reversal of 11327366400 is 466372311.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36422245 + ... + 36422555.

Almost surely, 211327366400 is an apocalyptic number.

11327366400 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 11327366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21509289984).

11327366400 is an abundant number, since it is smaller than the sum of its proper divisors (31691213568).

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

11327366400 is a wasteful number, since it uses less digits than its factorization.

11327366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 11327366400 in words is "eleven billion, three hundred twenty-seven million, three hundred sixty-six thousand, four hundred".