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286025448420 = 223258340147743
BaseRepresentation
bin1000010100110000111…
…00011111101111100100
31000100021121100020211200
410022120130133233210
514141240003322140
6335222010002500
726443656124425
oct4123034375744
91010247306750
10286025448420
111003369aa918
1247525416430
1320c8389008a
14dbb51b164c
157690906030
hex429871fbe4

286025448420 has 144 divisors (see below), whose sum is σ = 880271788032. Its totient is φ = 75165004800.

The previous prime is 286025448419. The next prime is 286025448469. The reversal of 286025448420 is 24844520682.

286025448420 is a `hidden beast` number, since 2 + 8 + 6 + 0 + 2 + 544 + 84 + 20 = 666.

286025448420 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 (45).

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, 5967069 + ... + 6014811.

It is an arithmetic number, because the mean of its divisors is an integer number (6112998528).

Almost surely, 2286025448420 is an apocalyptic number.

286025448420 is a gapful number since it is divisible by the number (20) 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 286025448420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440135894016).

286025448420 is an abundant number, since it is smaller than the sum of its proper divisors (594246339612).

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

286025448420 is a wasteful number, since it uses less digits than its factorization.

286025448420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48242 (or 48237 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 286025448420 in words is "two hundred eighty-six billion, twenty-five million, four hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 401 415 498 747 802 830 996 1203 1245 1494 1604 1660 2005 2406 2490 2988 3609 3735 4010 4812 4980 6015 7218 7470 8020 12030 14436 14940 18045 24060 33283 36090 47743 66566 72180 95486 99849 133132 143229 166415 190972 199698 238715 286458 299547 332830 399396 429687 477430 499245 572916 599094 665660 716145 859374 954860 998490 1198188 1432290 1497735 1718748 1996980 2148435 2864580 2995470 3962669 4296870 5990940 7925338 8593740 11888007 15850676 19144943 19813345 23776014 35664021 38289886 39626690 47552028 57434829 59440035 71328042 76579772 79253380 95724715 114869658 118880070 142656084 172304487 178320105 191449430 229739316 237760140 287174145 344608974 356640210 382898860 574348290 689217948 713280420 861522435 1148696580 1589030269 1723044870 3178060538 3446089740 4767090807 6356121076 7945151345 9534181614 14301272421 15890302690 19068363228 23835454035 28602544842 31780605380 47670908070 57205089684 71506362105 95341816140 143012724210 286025448420