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11925195744 = 2537114493593
BaseRepresentation
bin10110001101100110…
…00000101111100000
31010210002100201012110
423012303000233200
5143410322230434
65251154155320
7601342330350
oct130663005740
933702321173
1011925195744
11506a50a080
122389882b40
131180803357
14811b08b60
1549bde64e9
hex2c6cc0be0

11925195744 has 192 divisors, whose sum is σ = 39125721600. Its totient is φ = 3089694720.

The previous prime is 11925195721. The next prime is 11925195749. The reversal of 11925195744 is 44759152911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11925195693 and 11925195702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11925195749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3317212 + ... + 3320804.

It is an arithmetic number, because the mean of its divisors is an integer number (203779800).

Almost surely, 211925195744 is an apocalyptic number.

11925195744 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 11925195744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19562860800).

11925195744 is an abundant number, since it is smaller than the sum of its proper divisors (27200525856).

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

11925195744 is a wasteful number, since it uses less digits than its factorization.

11925195744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4065 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The spelling of 11925195744 in words is "eleven billion, nine hundred twenty-five million, one hundred ninety-five thousand, seven hundred forty-four".