Search a number
-
+
474138253875276 = 22321917328314158471
BaseRepresentation
bin110101111001110011110101…
…0001100100101100001001100
32022011210011201010122010210200
41223303213222030211201030
5444121240120443002101
64400224035024533500
7201604233635101254
oct15363475214454114
92264704633563720
10474138253875276
111280909a4610141
1245217205a81290
1317474078c36373
1485125b1b8a964
1539c365638a986
hex1af39ea32584c

474138253875276 has 144 divisors (see below), whose sum is σ = 1273372195280640. Its totient is φ = 148336364638080.

The previous prime is 474138253875217. The next prime is 474138253875289. The reversal of 474138253875276 is 672578352831474.

474138253875276 is a `hidden beast` number, since 4 + 7 + 4 + 1 + 3 + 82 + 538 + 7 + 5 + 2 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26408721 + ... + 40567191.

Almost surely, 2474138253875276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474138253875276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636686097640320).

474138253875276 is an abundant number, since it is smaller than the sum of its proper divisors (799233941405364).

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

474138253875276 is a wasteful number, since it uses less digits than its factorization.

474138253875276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14158956 (or 14158951 counting only the distinct ones).

The product of its digits is 1896652800, while the sum is 72.

The spelling of 474138253875276 in words is "four hundred seventy-four trillion, one hundred thirty-eight billion, two hundred fifty-three million, eight hundred seventy-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 173 228 283 342 346 519 566 684 692 849 1038 1132 1557 1698 2076 2547 3114 3287 3396 5094 5377 6228 6574 9861 10188 10754 13148 16131 19722 21508 29583 32262 39444 48393 48959 59166 64524 96786 97918 118332 146877 193572 195836 293754 440631 587508 881262 930221 1762524 1860442 2790663 3720884 5581326 8371989 11162652 14158471 16743978 28316942 33487956 42475413 56633884 84950826 127426239 169901652 254852478 269010949 509704956 538021898 807032847 1076043796 1614065694 2421098541 2449415483 3228131388 4006847293 4842197082 4898830966 7348246449 8013694586 9684394164 9797661932 12020541879 14696492898 16027389172 22044739347 24041083758 29392985796 36061625637 44089478694 46538894177 48082167516 72123251274 76130098567 88178957388 93077788354 139616682531 144246502548 152260197134 186155576708 228390295701 279233365062 304520394268 418850047593 456780591402 558466730124 685170887103 693184581689 837700095186 913561182804 1370341774206 1386369163378 1675400190372 2079553745067 2740683548412 2772738326756 4159107490134 6238661235201 8318214980268 12477322470402 13170507052091 24954644940804 26341014104182 39511521156273 52682028208364 79023042312546 118534563468819 158046084625092 237069126937638 474138253875276