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11983749120 = 215355743
BaseRepresentation
bin10110010100100100…
…11000000000000000
31010221011112112100000
423022102120000000
5144020314432440
65301045200000
7602653121040
oct131222300000
933834475300
1011983749120
11509a5720a2
1223a5400000
13118c994a15
148197cb720
154a2110730
hex2ca498000

11983749120 has 768 divisors, whose sum is σ = 50381210880. Its totient is φ = 2675441664.

The previous prime is 11983749119. The next prime is 11983749121. The reversal of 11983749120 is 2194738911.

11983749120 is a `hidden beast` number, since 1 + 198 + 374 + 91 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11983749119) and next prime (11983749121).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×119837491202 (a number of 21 digits) contains 22 as substring.

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 (11983749121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278691819 + ... + 278691861.

It is an arithmetic number, because the mean of its divisors is an integer number (65600535).

Almost surely, 211983749120 is an apocalyptic number.

11983749120 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 11983749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190605440).

11983749120 is an abundant number, since it is smaller than the sum of its proper divisors (38397461760).

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

11983749120 is an frugal number, since it uses more digits than its factorization.

11983749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 11983749120 in words is "eleven billion, nine hundred eighty-three million, seven hundred forty-nine thousand, one hundred twenty".