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329801049468 = 2233112191328279
BaseRepresentation
bin1001100110010011010…
…11001010010101111100
31011112021101212012022000
410303021223022111330
520400413032040333
6411301501022300
732553530444442
oct4631153122574
91145241765260
10329801049468
11117960104900
1253b01854990
132513bc162a7
1411d68d9cb92
1588a3ad9713
hex4cc9aca57c

329801049468 has 144 divisors (see below), whose sum is σ = 989302944000. Its totient is φ = 94679655840.

The previous prime is 329801049467. The next prime is 329801049503. The reversal of 329801049468 is 864940108923.

329801049468 is a `hidden beast` number, since 3 + 2 + 9 + 80 + 10 + 494 + 68 = 666.

329801049468 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329801049463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415848 + ... + 912431.

Almost surely, 2329801049468 is an apocalyptic number.

329801049468 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

329801049468 is an abundant number, since it is smaller than the sum of its proper divisors (659501894532).

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

329801049468 is a wasteful number, since it uses less digits than its factorization.

329801049468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328333 (or 1328314 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 329801049468 in words is "three hundred twenty-nine billion, eight hundred one million, forty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 121 132 171 198 209 228 242 297 342 363 396 418 484 513 594 627 684 726 836 1026 1089 1188 1254 1452 1881 2052 2178 2299 2508 3267 3762 4356 4598 5643 6534 6897 7524 9196 11286 13068 13794 20691 22572 27588 41382 62073 82764 124146 248292 1328279 2656558 3984837 5313116 7969674 11954511 14611069 15939348 23909022 25237301 29222138 35863533 43833207 47818044 50474602 58444276 71727066 75711903 87666414 100949204 131499621 143454132 151423806 160721759 175332828 227135709 262999242 277610311 302847612 321443518 394498863 454271418 482165277 525998484 555220622 642887036 681407127 788997726 832830933 908542836 964330554 1110441244 1362814254 1446495831 1577995452 1665661866 1928661108 2498492799 2725628508 2892991662 3053713421 3331323732 4339487493 4996985598 5785983324 6107426842 7495478397 8678974986 9161140263 9993971196 12214853684 14990956794 17357949972 18322280526 27483420789 29981913588 36644561052 54966841578 82450262367 109933683156 164900524734 329801049468