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11316451200 = 273521769341
BaseRepresentation
bin10101000101000001…
…10101011110000000
31002012122220021200020
422202200311132000
5141134002414300
65110530453440
7550301151045
oct124240653600
932178807606
1011316451200
11488792930a
122239a34280
1310b4665492
14794d271cc
1546374c8a0
hex2a2835780

11316451200 has 192 divisors, whose sum is σ = 39466692720. Its totient is φ = 2840166400.

The previous prime is 11316451187. The next prime is 11316451259. The reversal of 11316451200 is 215461311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 128530 + ... + 197870.

Almost surely, 211316451200 is an apocalyptic number.

11316451200 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 11316451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733346360).

11316451200 is an abundant number, since it is smaller than the sum of its proper divisors (28150241520).

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

11316451200 is a wasteful number, since it uses less digits than its factorization.

11316451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69385 (or 69368 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11316451200 in words is "eleven billion, three hundred sixteen million, four hundred fifty-one thousand, two hundred".