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23800081734 = 232111323112287
BaseRepresentation
bin10110001010100110…
…000110110101000110
32021102200001102101200
4112022212012311012
5342220310103414
614533354203330
71501534233252
oct261246066506
967380042350
1023800081734
11a103586740
124742723546
132323a70300
14121ac79262
159446a1109
hex58a986d46

23800081734 has 144 divisors (see below), whose sum is σ = 61137483264. Its totient is φ = 6633057600.

The previous prime is 23800081733. The next prime is 23800081769. The reversal of 23800081734 is 43718000832.

23800081734 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×238000817343 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23800081733) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10405539 + ... + 10407825.

It is an arithmetic number, because the mean of its divisors is an integer number (424565856).

Almost surely, 223800081734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23800081734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30568741632).

23800081734 is an abundant number, since it is smaller than the sum of its proper divisors (37337401530).

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

23800081734 is a wasteful number, since it uses less digits than its factorization.

23800081734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 23800081734 in words is "twenty-three billion, eight hundred million, eighty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 311 338 429 507 622 858 933 1014 1287 1521 1859 1866 2287 2574 2799 3042 3421 3718 4043 4574 5577 5598 6842 6861 8086 10263 11154 12129 13722 16731 20526 20583 24258 25157 29731 30789 33462 36387 41166 44473 50314 52559 59462 61578 72774 75471 88946 89193 105118 133419 150942 157677 178386 226413 266838 267579 315354 327041 386503 400257 452826 473031 535158 578149 654082 711257 773006 800514 946062 981123 1156298 1159509 1422514 1734447 1962246 2133771 2319018 2943369 3468894 3478527 4251533 4267542 5203341 5886738 6401313 6957054 7823827 8503066 9246341 10406682 12754599 12802626 15647654 18492682 23471481 25509198 27739023 38263797 46942962 55478046 70414443 76527594 83217069 101709751 120202433 140828886 166434138 203419502 240404866 305129253 360607299 610258506 721214598 915387759 1081821897 1322226763 1830775518 2163643794 2644453526 3966680289 7933360578 11900040867 23800081734