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290891950336 = 2813225932
BaseRepresentation
bin1000011101110101000…
…00101110100100000000
31000210211202112011110101
410032322200232210000
514231221314402321
6341344532012144
730005400531601
oct4167240564400
91023752464411
10290891950336
11102403a16829
1248463161054
132157ab79c00
1410117641da8
157877c8c791
hex43ba82e900

290891950336 has 81 divisors (see below), whose sum is σ = 628991161659. Its totient is φ = 134206046208.

The previous prime is 290891950243. The next prime is 290891950337. The reversal of 290891950336 is 633059198092.

It is a happy number.

The square root of 290891950336 is 539344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23147796736 + 267744153600 = 152144^2 + 517440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290891950337) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112182256 + ... + 112184848.

Almost surely, 2290891950336 is an apocalyptic number.

290891950336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

290891950336 is the 539344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290891950336

290891950336 is an abundant number, since it is smaller than the sum of its proper divisors (338099211323).

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

290891950336 is an frugal number, since it uses more digits than its factorization.

290891950336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 55.

The spelling of 290891950336 in words is "two hundred ninety billion, eight hundred ninety-one million, nine hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2593 2704 3328 5186 5408 10372 10816 20744 21632 33709 41488 43264 67418 82976 134836 165952 269672 331904 438217 539344 663808 876434 1078688 1752868 2157376 3505736 4314752 6723649 7011472 8629504 13447298 14022944 26894596 28045888 53789192 56091776 87407437 107578384 112183552 174814874 215156768 349629748 430313536 699259496 860627072 1136296681 1398518992 1721254144 2272593362 2797037984 4545186724 5594075968 9090373448 11188151936 18180746896 22376303872 36361493792 72722987584 145445975168 290891950336