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11924379360 = 253551718041
BaseRepresentation
bin10110001101011111…
…11001011011100000
31010210000211020100000
423012233321123200
5143410120114420
65251124500000
7601332360255
oct130657713340
933700736300
1011924379360
11506a001783
12238954a600
1311805a889a
1481197542c
1549bcd4690
hex2c6bf96e0

11924379360 has 288 divisors, whose sum is σ = 44683827552. Its totient is φ = 2992619520.

The previous prime is 11924379359. The next prime is 11924379367. The reversal of 11924379360 is 6397342911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11924379367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651940 + ... + 669980.

It is an arithmetic number, because the mean of its divisors is an integer number (155152179).

Almost surely, 211924379360 is an apocalyptic number.

11924379360 is a gapful number since it is divisible by the number (10) 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 11924379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22341913776).

11924379360 is an abundant number, since it is smaller than the sum of its proper divisors (32759448192).

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

11924379360 is a wasteful number, since it uses less digits than its factorization.

11924379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18088 (or 18068 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 11924379360 in words is "eleven billion, nine hundred twenty-four million, three hundred seventy-nine thousand, three hundred sixty".