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490116826444896 = 25327607400516483
BaseRepresentation
bin110111101110000100011011…
…1010101101011010001100000
32101021100201012022220200220200
41233130020313111223101200
51003220033230032214041
64454220321200505200
7205143525600013410
oct15734106725532140
92337321168820820
10490116826444896
11132191419232a62
1246b77b1161b200
1318062a840b2a91
148905ad0db0640
153b9e0e40381b6
hex1bdc23756b460

490116826444896 has 144 divisors (see below), whose sum is σ = 1595503873926144. Its totient is φ = 139802681140992.

The previous prime is 490116826444837. The next prime is 490116826444933. The reversal of 490116826444896 is 698444628611094.

490116826444896 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 1 + 6 + 82 + 64 + 4 + 489 + 6 = 666.

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

It is a super-3 number, since 3×4901168264448963 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199034530 + ... + 201481953.

It is an arithmetic number, because the mean of its divisors is an integer number (11079888013376).

Almost surely, 2490116826444896 is an apocalyptic number.

It is an amenable number.

490116826444896 is an abundant number, since it is smaller than the sum of its proper divisors (1105387047481248).

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

490116826444896 is a wasteful number, since it uses less digits than its factorization.

490116826444896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400517113 (or 400517102 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 490116826444896 in words is "four hundred ninety trillion, one hundred sixteen billion, eight hundred twenty-six million, four hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 607 672 1008 1214 1821 2016 2428 3642 4249 4856 5463 7284 8498 9712 10926 12747 14568 16996 19424 21852 25494 29136 33992 38241 43704 50988 58272 67984 76482 87408 101976 135968 152964 174816 203952 305928 407904 611856 1223712 400516483 801032966 1201549449 1602065932 2403098898 2803615381 3204131864 3604648347 4806197796 5607230762 6408263728 7209296694 8410846143 9612395592 11214461524 12816527456 14418593388 16821692286 19224791184 22428923048 25232538429 28837186776 33643384572 38449582368 44857846096 50465076858 57674373552 67286769144 89715692192 100930153716 115348747104 134573538288 201860307432 243113505181 269147076576 403720614864 486227010362 729340515543 807441229728 972454020724 1458681031086 1701794536267 1944908041448 2188021546629 2917362062172 3403589072534 3889816082896 4376043093258 5105383608801 5834724124344 6807178145068 7779632165792 8752086186516 10210767217602 11669448248688 13614356290136 15316150826403 17504172373032 20421534435204 23338896497376 27228712580272 30632301652806 35008344746064 40843068870408 54457425160544 61264603305612 70016689492128 81686137740816 122529206611224 163372275481632 245058413222448 490116826444896