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285044213088 = 253223139309583
BaseRepresentation
bin1000010010111011111…
…01011000010101100000
31000020202012222100000100
410021131331120111200
514132232304304323
6334540354422400
726410442556135
oct4113575302540
91006665870010
10285044213088
11aa983033228
12472b0891a00
1320b584c2c5b
14db20b4a58c
1576346ce943
hex425df58560

285044213088 has 144 divisors (see below), whose sum is σ = 851925634560. Its totient is φ = 90229531392.

The previous prime is 285044213081. The next prime is 285044213119. The reversal of 285044213088 is 880312440582.

285044213088 is a `hidden beast` number, since 2 + 8 + 504 + 4 + 2 + 130 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285044213081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765945 + ... + 1075527.

It is an arithmetic number, because the mean of its divisors is an integer number (5916150240).

Almost surely, 2285044213088 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 285044213088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425962817280).

285044213088 is an abundant number, since it is smaller than the sum of its proper divisors (566881421472).

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

285044213088 is a wasteful number, since it uses less digits than its factorization.

285044213088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309761 (or 309750 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 285044213088 in words is "two hundred eighty-five billion, forty-four million, two hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 139 144 184 207 276 278 288 368 414 417 552 556 736 828 834 1104 1112 1251 1656 1668 2208 2224 2502 3197 3312 3336 4448 5004 6394 6624 6672 9591 10008 12788 13344 19182 20016 25576 28773 38364 40032 51152 57546 76728 102304 115092 153456 230184 306912 309583 460368 619166 920736 928749 1238332 1857498 2476664 2786247 3714996 4953328 5572494 7120409 7429992 9906656 11144988 14240818 14859984 21361227 22289976 28481636 29719968 42722454 43032037 44579952 56963272 64083681 85444908 86064074 89159904 113926544 128167362 129096111 170889816 172128148 227853088 256334724 258192222 341779632 344256296 387288333 512669448 516384444 683559264 688512592 774576666 989736851 1025338896 1032768888 1377025184 1549153332 1979473702 2050677792 2065537776 2969210553 3098306664 3958947404 4131075552 5938421106 6196613328 7917894808 8907631659 11876842212 12393226656 15835789616 17815263318 23753684424 31671579232 35630526636 47507368848 71261053272 95014737696 142522106544 285044213088