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290793835968 = 2633790745131
BaseRepresentation
bin1000011101101001010…
…10011100110111000000
31000210120220220102211220
410032310222130313000
514231021210222333
6341331105035040
730003066552066
oct4166452346700
91023526812756
10290793835968
111023635a2a79
1248436325a80
132156374677c
14101085c2036
15786e35b8b3
hex43b4a9cdc0

290793835968 has 112 divisors (see below), whose sum is σ = 791075140224. Its totient is φ = 94205445120.

The previous prime is 290793835949. The next prime is 290793835973. The reversal of 290793835968 is 869538397092.

It is a super-2 number, since 2×2907938359682 (a number of 24 digits) contains 22 as substring.

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, 6420763 + ... + 6465893.

Almost surely, 2290793835968 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 290793835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395537570112).

290793835968 is an abundant number, since it is smaller than the sum of its proper divisors (500281304256).

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

290793835968 is a wasteful number, since it uses less digits than its factorization.

290793835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46090 (or 46080 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 69.

The spelling of 290793835968 in words is "two hundred ninety billion, seven hundred ninety-three million, eight hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 907 1184 1776 1814 2368 2721 3552 3628 5442 7104 7256 10884 14512 21768 29024 33559 43536 45131 58048 67118 87072 90262 100677 134236 135393 174144 180524 201354 268472 270786 361048 402708 536944 541572 722096 805416 1073888 1083144 1444192 1610832 1669847 2147776 2166288 2888384 3221664 3339694 4332576 5009541 6443328 6679388 8665152 10019082 13358776 20038164 26717552 40076328 40933817 53435104 80152656 81867634 106870208 122801451 160305312 163735268 245602902 320610624 327470536 491205804 654941072 982411608 1309882144 1514551229 1964823216 2619764288 3029102458 3929646432 4543653687 6058204916 7859292864 9087307374 12116409832 18174614748 24232819664 36349229496 48465639328 72698458992 96931278656 145396917984 290793835968