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12096072744 = 2337653110261
BaseRepresentation
bin10110100001111101…
…10110110000101000
31011012222220011101020
423100332312300220
5144233043311434
65320140452440
7605515631130
oct132076666050
934188804336
1012096072744
115147a10538
122416b4a120
1311aa0318c2
1482a6a9ac0
154abdeb849
hex2d0fb6c28

12096072744 has 64 divisors (see below), whose sum is σ = 34613447040. Its totient is φ = 3450696960.

The previous prime is 12096072743. The next prime is 12096072829. The reversal of 12096072744 is 44727069021.

12096072744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12096072696 and 12096072705.

It is not an unprimeable number, because it can be changed into a prime (12096072743) 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 15 ways as a sum of consecutive naturals, for example, 54574 + ... + 164834.

It is an arithmetic number, because the mean of its divisors is an integer number (540835110).

Almost surely, 212096072744 is an apocalyptic number.

12096072744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12096072744 is an abundant number, since it is smaller than the sum of its proper divisors (22517374296).

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

12096072744 is a wasteful number, since it uses less digits than its factorization.

12096072744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110930 (or 110926 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 12096072744 in words is "twelve billion, ninety-six million, seventy-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 653 1306 1959 2612 3918 4571 5224 7836 9142 13713 15672 18284 27426 36568 54852 109704 110261 220522 330783 441044 661566 771827 882088 1323132 1543654 2315481 2646264 3087308 4630962 6174616 9261924 18523848 72000433 144000866 216001299 288001732 432002598 504003031 576003464 864005196 1008006062 1512009093 1728010392 2016012124 3024018186 4032024248 6048036372 12096072744