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11394141696 = 29367389
BaseRepresentation
bin10101001110010010…
…01100111000000000
31002102002002101000000
422213021030320000
5141313400013241
65122344000000
7552233415000
oct124711147000
932362071000
1011394141696
114917772333
12225ba60000
1310c77975a2
147a138c000
1546a496eb6
hex2a724ce00

11394141696 has 560 divisors, whose sum is σ = 40253004000. Its totient is φ = 3218890752.

The previous prime is 11394141691. The next prime is 11394141701. The reversal of 11394141696 is 69614149311.

11394141696 is a `hidden beast` number, since 1 + 139 + 414 + 16 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (11394141691) and next prime (11394141701).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11394141691) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 128024020 + ... + 128024108.

Almost surely, 211394141696 is an apocalyptic number.

11394141696 is a gapful number since it is divisible by the number (16) 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 11394141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20126502000).

11394141696 is an abundant number, since it is smaller than the sum of its proper divisors (28858862304).

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

11394141696 is an frugal number, since it uses more digits than its factorization.

11394141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 11394141696 in words is "eleven billion, three hundred ninety-four million, one hundred forty-one thousand, six hundred ninety-six".