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11325749292 = 223311132192969
BaseRepresentation
bin10101000110001000…
…10011100000101100
31002020022101200021000
422203010103200230
5141143342434132
65111502040300
7550443165144
oct124304234054
932208350230
1011325749292
1148920aa090
122240b79090
1310b656c700
14796267924
1546448787c
hex2a311382c

11325749292 has 288 divisors, whose sum is σ = 36523872000. Its totient is φ = 3000291840.

The previous prime is 11325749269. The next prime is 11325749353. The reversal of 11325749292 is 29294752311.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3813184 + ... + 3816152.

It is an arithmetic number, because the mean of its divisors is an integer number (126819000).

Almost surely, 211325749292 is an apocalyptic number.

11325749292 is a gapful number since it is divisible by the number (12) 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 11325749292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18261936000).

11325749292 is an abundant number, since it is smaller than the sum of its proper divisors (25198122708).

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

11325749292 is a wasteful number, since it uses less digits than its factorization.

11325749292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3017 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 11325749292 in words is "eleven billion, three hundred twenty-five million, seven hundred forty-nine thousand, two hundred ninety-two".