Search a number
-
+
283494725144704 = 27191576591126669
BaseRepresentation
bin100000001110101100100001…
…0011000110101000010000000
31101011202211102211101122202001
41000131121002120311002000
5244124234144114112304
62442535402342233344
7113466550366152013
oct10035310230650200
91334684384348661
10283494725144704
118236a48a719817
1227967215a25854
13c2255900073b8
145001309d2737a
1522b9535c04da4
hex101d642635080

283494725144704 has 128 divisors (see below), whose sum is σ = 599194652760000. Its totient is φ = 133229049827328.

The previous prime is 283494725144663. The next prime is 283494725144711. The reversal of 283494725144704 is 407441527494382.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251058682 + ... + 252185350.

Almost surely, 2283494725144704 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 283494725144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299597326380000).

283494725144704 is an abundant number, since it is smaller than the sum of its proper divisors (315699927615296).

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

283494725144704 is a wasteful number, since it uses less digits than its factorization.

283494725144704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127518 (or 1127506 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 64.

The spelling of 283494725144704 in words is "two hundred eighty-three trillion, four hundred ninety-four billion, seven hundred twenty-five million, one hundred forty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 157 304 314 608 628 659 1216 1256 1318 2432 2512 2636 2983 5024 5272 5966 10048 10544 11932 12521 20096 21088 23864 25042 42176 47728 50084 84352 95456 100168 103463 190912 200336 206926 381824 400672 413852 801344 827704 1126669 1602688 1655408 1965797 2253338 3310816 3931594 4506676 6621632 7863188 9013352 13243264 15726376 18026704 21406711 31452752 36053408 42813422 62905504 72106816 85626844 125811008 144213632 171253688 176887033 251622016 342507376 353774066 685014752 707548132 742474871 1370029504 1415096264 1484949742 2740059008 2830192528 2969899484 3360853627 5660385056 5939798968 6721707254 11320770112 11879597936 13443414508 14107022549 22641540224 23759195872 26886829016 28214045098 47518391744 53773658032 56428090196 95036783488 107547316064 112856180392 116568554747 215094632128 225712360784 233137109494 430189264256 451424721568 466274218988 902849443136 932548437976 1805698886272 1865096875952 2214802540193 3730193751904 4429605080386 7460387503808 8859210160772 14920775007616 17718420321544 35436840643088 70873681286176 141747362572352 283494725144704