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290274588992 = 2623599734457
BaseRepresentation
bin1000011100101011011…
…01101011100101000000
31000202020201211221220102
410032111231223211000
514223440243321432
6341203355501532
726654163203363
oct4162555534500
91022221757812
10290274588992
11102117490043
12483104578a8
13214accb2c3b
141009965a0da
15783d990962
hex4395b6b940

290274588992 has 112 divisors (see below), whose sum is σ = 617564545920. Its totient is φ = 135063109632.

The previous prime is 290274588973. The next prime is 290274589001. The reversal of 290274588992 is 299885472092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8407028 + ... + 8441484.

It is an arithmetic number, because the mean of its divisors is an integer number (5513969160).

Almost surely, 2290274588992 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 290274588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308782272960).

290274588992 is an abundant number, since it is smaller than the sum of its proper divisors (327289956928).

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

290274588992 is a wasteful number, since it uses less digits than its factorization.

290274588992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34648 (or 34638 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 65.

The spelling of 290274588992 in words is "two hundred ninety billion, two hundred seventy-four million, five hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 97 118 184 194 236 368 388 472 736 776 944 1357 1472 1552 1888 2231 2714 3104 3776 4462 5428 5723 6208 8924 10856 11446 17848 21712 22892 34457 35696 43424 45784 68914 71392 86848 91568 131629 137828 142784 183136 263258 275656 366272 526516 551312 792511 1053032 1102624 1585022 2032963 2106064 2205248 3170044 3342329 4065926 4212128 6340088 6684658 8131852 8424256 12680176 13369316 16263704 25360352 26738632 32527408 46758149 50720704 53477264 65054816 76873567 93516298 106954528 130109632 153747134 187032596 197197411 213909056 307494268 374065192 394394822 614988536 748130384 788789644 1229977072 1496260768 1577579288 2459954144 2992521536 3155158576 4535540453 4919908288 6310317152 9071080906 12620634304 18142161812 36284323624 72568647248 145137294496 290274588992