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11375693784 = 2334731331127
BaseRepresentation
bin10101001100000101…
…10100111111011000
31002100210101010020000
422212002310333120
5141244134200114
65120444333000
7551620542000
oct124602647730
932323333200
1011375693784
114908312124
122255844160
1310c3a08770
1479cb49000
15468a50e09
hex2a60b4fd8

11375693784 has 640 divisors, whose sum is σ = 41631744000. Its totient is φ = 2880541440.

The previous prime is 11375693783. The next prime is 11375693789. The reversal of 11375693784 is 48739657311.

11375693784 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 569 + 3 + 78 + 4 = 666.

11375693784 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 (54).

Its product of digits (3810240) is a multiple of the sum of its prime factors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 11375693784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11375693783) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 89572329 + ... + 89572455.

It is an arithmetic number, because the mean of its divisors is an integer number (65049600).

Almost surely, 211375693784 is an apocalyptic number.

11375693784 is a gapful number since it is divisible by the number (14) 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 11375693784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20815872000).

11375693784 is an abundant number, since it is smaller than the sum of its proper divisors (30256050216).

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

11375693784 is a wasteful number, since it uses less digits than its factorization.

11375693784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 11375693784 in words is "eleven billion, three hundred seventy-five million, six hundred ninety-three thousand, seven hundred eighty-four".