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12074918964024 = 23371631163379147
BaseRepresentation
bin1010111110110110100101…
…0000010110101100111000
31120202100110212022210202210
42233231221100112230320
53040313413223322044
641403050255255120
72354245514500110
oct257555120265470
946670425283683
1012074918964024
113935a42a653a4
121430249b1a4a0
13697876c62027
142da601a00040
1515e16a2cc1b9
hexafb69416b38

12074918964024 has 128 divisors (see below), whose sum is σ = 34741361571840. Its totient is φ = 3425854061952.

The previous prime is 12074918964023. The next prime is 12074918964083. The reversal of 12074918964024 is 42046981947021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12074918964023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31658019 + ... + 32037165.

It is an arithmetic number, because the mean of its divisors is an integer number (271416887280).

Almost surely, 212074918964024 is an apocalyptic number.

12074918964024 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 12074918964024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370680785920).

12074918964024 is an abundant number, since it is smaller than the sum of its proper divisors (22666442607816).

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

12074918964024 is a wasteful number, since it uses less digits than its factorization.

12074918964024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380489 (or 380485 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 12074918964024 in words is "twelve trillion, seventy-four billion, nine hundred eighteen million, nine hundred sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 168 326 489 652 978 1141 1163 1304 1956 2282 2326 3423 3489 3912 4564 4652 6846 6978 8141 9128 9304 13692 13956 16282 24423 27384 27912 32564 48846 65128 97692 189569 195384 379138 379147 568707 758276 758294 1137414 1137441 1326983 1516552 1516588 2274828 2274882 2653966 2654029 3033176 3980949 4549656 4549764 5307932 5308058 7961898 7962087 9099528 10615864 10616116 15923796 15924174 21232232 31847592 31848348 61800961 63696696 123601922 185402883 247203844 370805766 432606727 440947961 494407688 741611532 865213454 881895922 1297820181 1322843883 1483223064 1730426908 1763791844 2595640362 2645687766 3086635727 3460853816 3527583688 5191280724 5291375532 6173271454 9259907181 10382561448 10582751064 12346542908 18519814362 24693085816 37039628724 71874517643 74079257448 143749035286 215623552929 287498070572 431247105858 503121623501 574996141144 862494211716 1006243247002 1509364870503 1724988423432 2012486494004 3018729741006 4024972988008 6037459482012 12074918964024