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110792005038 = 233111328151059
BaseRepresentation
bin110011100101110110…
…1111101010110101110
3101120222021201000001000
41213023231331112232
53303400223130123
6122521441101130
711001346335021
oct1471355752656
9346867630030
10110792005038
1142a94220230
12195800277a6
13a5a8610a40
14551046b1b8
152d368e0b43
hex19cbb7d5ae

110792005038 has 128 divisors (see below), whose sum is σ = 290282227200. Its totient is φ = 30879878400.

The previous prime is 110792005013. The next prime is 110792005061. The reversal of 110792005038 is 830500297011.

It is a junction number, because it is equal to n+sod(n) for n = 110792004993 and 110792005011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2144353 + ... + 2195411.

It is an arithmetic number, because the mean of its divisors is an integer number (2267829900).

Almost surely, 2110792005038 is an apocalyptic number.

110792005038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110792005038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145141113600).

110792005038 is an abundant number, since it is smaller than the sum of its proper divisors (179490222162).

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

110792005038 is a wasteful number, since it uses less digits than its factorization.

110792005038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51375 (or 51369 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 110792005038 in words is "one hundred ten billion, seven hundred ninety-two million, five thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 281 286 297 351 429 562 594 702 843 858 1287 1686 2529 2574 3091 3653 3861 5058 6182 7306 7587 7722 9273 10959 15174 18546 21918 27819 32877 40183 51059 55638 65754 80366 83457 98631 102118 120549 153177 166914 197262 241098 306354 361647 459531 561649 663767 723294 919062 1084941 1123298 1327534 1378593 1684947 1991301 2169882 2757186 3369894 3982602 5054841 5973903 7301437 10109682 11947806 14347579 14602874 15164523 17921709 21904311 28695158 30329046 35843418 43042737 43808622 65712933 86085474 129128211 131425866 157823369 186518527 197138799 258256422 315646738 373037054 387384633 394277598 473470107 559555581 774769266 946940214 1119111162 1420410321 1678666743 2051703797 2840820642 3357333486 4103407594 4261230963 5036000229 6155111391 8522461926 10072000458 12310222782 18465334173 36930668346 55396002519 110792005038