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38404216736634 = 23719291918688497
BaseRepresentation
bin10001011101101101011011…
…01100100100101101111010
312000222101222220011221120010
420232312231230210231322
520013203313441033014
6213402353102442350
711042420202105330
oct1056665554445572
9160871886157503
1038404216736634
11112671561742a1
124382bb25933b6
13185766b15a378
1496aab9c3db50
15468ead921359
hex22edadb24b7a

38404216736634 has 128 divisors (see below), whose sum is σ = 96087837081600. Its totient is φ = 9984124523520.

The previous prime is 38404216736623. The next prime is 38404216736681. The reversal of 38404216736634 is 43663761240483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 75874 + ... + 8764370.

It is an arithmetic number, because the mean of its divisors is an integer number (750686227200).

Almost surely, 238404216736634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38404216736634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48043918540800).

38404216736634 is an abundant number, since it is smaller than the sum of its proper divisors (57683620344966).

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

38404216736634 is a wasteful number, since it uses less digits than its factorization.

38404216736634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688748.

The product of its (nonzero) digits is 41803776, while the sum is 57.

The spelling of 38404216736634 in words is "thirty-eight trillion, four hundred four billion, two hundred sixteen million, seven hundred thirty-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 57 58 87 114 133 174 191 203 266 382 399 406 551 573 609 798 1102 1146 1218 1337 1653 2674 3306 3629 3857 4011 5539 7258 7714 8022 10887 11078 11571 16617 21774 23142 25403 33234 38773 50806 76209 77546 105241 116319 152418 210482 232638 315723 631446 736687 1473374 2210061 4420122 8688497 17376994 26065491 52130982 60819479 121638958 165081443 182458437 251966413 330162886 364916874 495244329 503932826 755899239 990488658 1155570101 1511798478 1659502927 1763764891 2311140202 3319005854 3466710303 3527529782 4787361847 4978508781 5291294673 6933420606 9574723694 9957017562 10582589346 11616520489 14362085541 23233040978 28724171082 31530555613 33511532929 34849561467 48125584883 63061111226 67023065858 69699122934 94591666839 96251169766 100534598787 144376754649 189183333678 201069197574 220713889291 288753509298 336879094181 441427778582 662141667873 673758188362 914386112777 1010637282543 1324283335746 1828772225554 2021274565086 2743158338331 5486316676662 6400702789439 12801405578878 19202108368317 38404216736634