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11369921400 = 23365277983
BaseRepresentation
bin10101001011011001…
…10011101101111000
31002100101111212000000
422211230303231320
5141241144441100
65120120513000
7551520510615
oct124554635570
932311455000
1011369921400
11490502a262
12225391b760
1310c2767256
1479c08550c
154682b0900
hex2a5b33b78

11369921400 has 168 divisors, whose sum is σ = 39634978080. Its totient is φ = 3031940160.

The previous prime is 11369921357. The next prime is 11369921413. The reversal of 11369921400 is 412996311.

It is a happy number.

It is a super-2 number, since 2×113699214002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 41 ways as a sum of consecutive naturals, for example, 106809 + ... + 184791.

Almost surely, 211369921400 is an apocalyptic number.

11369921400 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 11369921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19817489040).

11369921400 is an abundant number, since it is smaller than the sum of its proper divisors (28265056680).

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

11369921400 is an equidigital number, since it uses as much as digits as its factorization.

11369921400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78017 (or 77993 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 11369921400 in words is "eleven billion, three hundred sixty-nine million, nine hundred twenty-one thousand, four hundred".