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123809804120088 = 23342573831941101
BaseRepresentation
bin11100001001101010110111…
…011001001111000000011000
3121020101002202010100221210000
4130021222313121033000120
5112211444434323320323
61115153234441053000
735035651235660622
oct3411526731170030
9536332663327700
10123809804120088
11364a4496790169
1211a77204a87160
1354112a314c818
1422805d8421c12
15e4a89cc55e43
hex709ab764f018

123809804120088 has 160 divisors (see below), whose sum is σ = 349040576079360. Its totient is φ = 41001995059200.

The previous prime is 123809804120071. The next prime is 123809804120111. The reversal of 123809804120088 is 880021408908321.

123809804120088 is a `hidden beast` number, since 1 + 238 + 0 + 98 + 0 + 41 + 200 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62812738 + ... + 64753838.

It is an arithmetic number, because the mean of its divisors is an integer number (2181503600496).

Almost surely, 2123809804120088 is an apocalyptic number.

123809804120088 is a gapful number since it is divisible by the number (18) 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 123809804120088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174520288039680).

123809804120088 is an abundant number, since it is smaller than the sum of its proper divisors (225230771959272).

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

123809804120088 is a wasteful number, since it uses less digits than its factorization.

123809804120088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941759 (or 1941746 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 123809804120088 in words is "one hundred twenty-three trillion, eight hundred nine billion, eight hundred four million, one hundred twenty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 257 324 383 514 648 766 771 1028 1149 1532 1542 2056 2298 2313 3064 3084 3447 4596 4626 6168 6894 6939 9192 9252 10341 13788 13878 18504 20682 20817 27576 27756 31023 41364 41634 55512 62046 82728 83268 98431 124092 166536 196862 248184 295293 393724 590586 787448 885879 1181172 1771758 1941101 2362344 2657637 3543516 3882202 5315274 5823303 7087032 7764404 7972911 10630548 11646606 15528808 15945822 17469909 21261096 23293212 31891644 34939818 46586424 52409727 63783288 69879636 104819454 139759272 157229181 209638908 314458362 419277816 498862957 628916724 743441683 997725914 1257833448 1486883366 1496588871 1995451828 2230325049 2973766732 2993177742 3990903656 4460650098 4489766613 5947533464 5986355484 6690975147 8921300196 8979533226 11972710968 13381950294 13469299839 17842600392 17959066452 20072925441 26763900588 26938599678 35918132904 40145850882 40407899517 53527801176 53877199356 60218776323 80291701764 80815799034 107754398712 120437552646 160583403528 161631598068 191064512531 240875105292 323263196136 382129025062 481750210584 573193537593 764258050124 1146387075186 1528516100248 1719580612779 2292774150372 3439161225558 4585548300744 5158741838337 6878322451116 10317483676674 13756644902232 15476225515011 20634967353348 30952451030022 41269934706696 61904902060044 123809804120088