Search a number
-
+
117011034774620 = 225710724023325153
BaseRepresentation
bin11010100110101111000001…
…001010011001110001011100
3120100022010221012101101112122
4122212233001022121301130
5110314102044400241440
61052510043254522112
733434524344025460
oct3246570112316134
9510263835341478
10117011034774620
1134313112727a88
1211159632966338
13503a129aab70c
1420c75158da4a0
15d7dad3a6e7b5
hex6a6bc1299c5c

117011034774620 has 96 divisors (see below), whose sum is σ = 283463700968448. Its totient is φ = 39741357238272.

The previous prime is 117011034774617. The next prime is 117011034774653. The reversal of 117011034774620 is 26477430110711.

It is a super-4 number, since 4×1170110347746204 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 359701964 + ... + 360027116.

It is an arithmetic number, because the mean of its divisors is an integer number (2952746885088).

Almost surely, 2117011034774620 is an apocalyptic number.

117011034774620 is a gapful number since it is divisible by the number (10) 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 117011034774620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141731850484224).

117011034774620 is an abundant number, since it is smaller than the sum of its proper divisors (166452666193828).

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

117011034774620 is a wasteful number, since it uses less digits than its factorization.

117011034774620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349299 (or 349297 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 117011034774620 in words is "one hundred seventeen trillion, eleven billion, thirty-four million, seven hundred seventy-four thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 14980 24023 48046 96092 120115 168161 240230 325153 336322 480460 650306 672644 840805 1300612 1625765 1681610 2276071 2570461 3251530 3363220 4552142 5140922 6503060 9104284 10281844 11380355 12852305 17993227 22760710 25704610 34791371 35986454 45521420 51409220 69582742 71972908 89966135 139165484 173956855 179932270 243539597 347913710 359864540 487079194 695827420 974158388 1217697985 2435395970 4870791940 7811150519 15622301038 31244602076 39055752595 54678053633 78111505190 109356107266 156223010380 218712214532 273390268165 546780536330 835793105533 1093561072660 1671586211066 3343172422132 4178965527665 5850551738731 8357931055330 11701103477462 16715862110660 23402206954924 29252758693655 58505517387310 117011034774620