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11346472725 = 3527193771433
BaseRepresentation
bin10101001000100110…
…10110111100010101
31002021202101112110120
422210103112330111
5141214144111400
65113522142153
7551114266260
oct124423267425
932252345416
1011346472725
1148a2873995
122247ab1959
1310ba9471b3
14798cddcd7
154661ccca0
hex2a44d6f15

11346472725 has 192 divisors, whose sum is σ = 23558492160. Its totient is φ = 4702924800.

The previous prime is 11346472699. The next prime is 11346472727. The reversal of 11346472725 is 52727464311.

11346472725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11346472725 - 26 = 11346472661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11346472727) 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 191 ways as a sum of consecutive naturals, for example, 26204109 + ... + 26204541.

It is an arithmetic number, because the mean of its divisors is an integer number (122700480).

Almost surely, 211346472725 is an apocalyptic number.

11346472725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11346472725 is an abundant number, since it is smaller than the sum of its proper divisors (12212019435).

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

11346472725 is a wasteful number, since it uses less digits than its factorization.

11346472725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The spelling of 11346472725 in words is "eleven billion, three hundred forty-six million, four hundred seventy-two thousand, seven hundred twenty-five".