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421935507987168 = 25372269813324457
BaseRepresentation
bin101111111101111111000010…
…0000100100101101011100000
32001022221122022000110202211210
41133323332010010211223200
5420300442410021042133
64053214255122310120
7154605556140261300
oct13773760404455340
92038848260422753
10421935507987168
1111249493147175a
123b3a5b17ab8340
1315158469aca7c6
147629b05075600
1533ba79e1cc763
hex17fbf84125ae0

421935507987168 has 144 divisors (see below), whose sum is σ = 1288458351959184. Its totient is φ = 120548497950720.

The previous prime is 421935507987157. The next prime is 421935507987211. The reversal of 421935507987168 is 861789705539124.

It is a super-2 number, since 2×4219355079871682 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 421935507987168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125256396 + ... + 128580852.

It is an arithmetic number, because the mean of its divisors is an integer number (8947627444161).

It is a 1-persistent number, because it is pandigital, but 2⋅421935507987168 = 843871015974336 is not.

Almost surely, 2421935507987168 is an apocalyptic number.

421935507987168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

421935507987168 is an abundant number, since it is smaller than the sum of its proper divisors (866522843972016).

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

421935507987168 is a wasteful number, since it uses less digits than its factorization.

421935507987168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351465 (or 3351450 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 75.

The spelling of 421935507987168 in words is "four hundred twenty-one trillion, nine hundred thirty-five billion, five hundred seven million, nine hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 26981 53962 80943 107924 161886 188867 215848 323772 377734 431696 566601 647544 755468 863392 1133202 1295088 1322069 1510936 2266404 2590176 2644138 3021872 3324457 3966207 4532808 5288276 6043744 6648914 7932414 9065616 9973371 10576552 13297828 15864828 18131232 19946742 21153104 23271199 26595656 31729656 39893484 42306208 46542398 53191312 63459312 69813597 79786968 93084796 106382624 126918624 139627194 159573936 162898393 186169592 279254388 319147872 325796786 372339184 488695179 558508776 651593572 744678368 977390358 1117017552 1303187144 1954780716 2234035104 2606374288 3909561432 5212748576 7819122864 15638245728 89697174317 179394348634 269091522951 358788697268 538183045902 627880220219 717577394536 1076366091804 1255760440438 1435154789072 1883640660657 2152732183608 2511520880876 2870309578144 3767281321314 4305464367216 4395161541533 5023041761752 7534562642628 8610928734432 8790323083066 10046083523504 13185484624599 15069125285256 17580646166132 20092167047008 26370969249198 30138250570512 35161292332264 52741938498396 60276501141024 70322584664528 105483876996792 140645169329056 210967753993584 421935507987168