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2285494129280 = 27544354714737
BaseRepresentation
bin100001010000100010000…
…100001101001010000000
322002111021000102021222002
4201100202010031022000
5244421142444114110
64505535211003132
7324056450364215
oct41204204151200
98074230367862
102285494129280
118012aa94277a
1230ab3b4394a8
131376a1024b0b
147c893275b0c
153e6b6e30aa5
hex2142210d280

2285494129280 has 128 divisors (see below), whose sum is σ = 5486476351680. Its totient is φ = 910404698112.

The previous prime is 2285494129249. The next prime is 2285494129283. The reversal of 2285494129280 is 829214945822.

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

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2285494129283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155078072 + ... + 155092808.

Almost surely, 22285494129280 is an apocalyptic number.

2285494129280 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 2285494129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743238175840).

2285494129280 is an abundant number, since it is smaller than the sum of its proper divisors (3200982222400).

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

2285494129280 is a wasteful number, since it uses less digits than its factorization.

2285494129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15746 (or 15734 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 56.

The spelling of 2285494129280 in words is "two trillion, two hundred eighty-five billion, four hundred ninety-four million, one hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 443 547 640 886 1094 1772 2188 2215 2735 3544 4376 4430 5470 7088 8752 8860 10940 14176 14737 17504 17720 21880 28352 29474 35008 35440 43760 56704 58948 70016 70880 73685 87520 117896 141760 147370 175040 235792 242321 283520 294740 350080 471584 484642 589480 943168 969284 1178960 1211605 1886336 1938568 2357920 2423210 3877136 4715840 4846420 6528491 7754272 8061139 9431680 9692840 13056982 15508544 16122278 19385680 26113964 31017088 32244556 32642455 38771360 40305695 52227928 64489112 65284910 77542720 80611390 104455856 128978224 130569820 155085440 161222780 208911712 257956448 261139640 322445560 417823424 515912896 522279280 644891120 835646848 1031825792 1044558560 1289782240 2089117120 2579564480 3571084577 4178234240 5159128960 7142169154 14284338308 17855422885 28568676616 35710845770 57137353232 71421691540 114274706464 142843383080 228549412928 285686766160 457098825856 571373532320 1142747064640 2285494129280