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11414673900 = 2234527375441
BaseRepresentation
bin10101010000101111…
…00001100111101100
31002110111201111220000
422220113201213230
5141334124031100
65124400024300
7552603061440
oct125027414754
932414644800
1011414673900
1149283164a3
122266902090
1310cbb06016
147a3db4820
1546c1a0900
hex2a85e19ec

11414673900 has 360 divisors, whose sum is σ = 43438740576. Its totient is φ = 2538086400.

The previous prime is 11414673883. The next prime is 11414673913. The reversal of 11414673900 is 937641411.

11414673900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2095180 + ... + 2100620.

Almost surely, 211414673900 is an apocalyptic number.

11414673900 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 11414673900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719370288).

11414673900 is an abundant number, since it is smaller than the sum of its proper divisors (32024066676).

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

11414673900 is a wasteful number, since it uses less digits than its factorization.

11414673900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11414673900 in words is "eleven billion, four hundred fourteen million, six hundred seventy-three thousand, nine hundred".