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10043330640 = 243579416353
BaseRepresentation
bin10010101101010000…
…10001000001010000
3221220221022001120220
421112220101001100
5131032043040030
64340331233040
7503611621230
oct112650210120
927827261526
1010043330640
11429421aa62
121b435a8780
13c4097bcc5
146b3c01cc0
153dbabba10
hex256a11050

10043330640 has 160 divisors (see below), whose sum is σ = 35625505536. Its totient is φ = 2292817920.

The previous prime is 10043330629. The next prime is 10043330641. The reversal of 10043330640 is 4603334001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10043330640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10043330641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577704 + ... + 1584056.

Almost surely, 210043330640 is an apocalyptic number.

10043330640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10043330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17812752768).

10043330640 is an abundant number, since it is smaller than the sum of its proper divisors (25582174896).

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

10043330640 is a wasteful number, since it uses less digits than its factorization.

10043330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10043330640 its reverse (4603334001), we get a palindrome (14646664641).

The spelling of 10043330640 in words is "ten billion, forty-three million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 941 1680 1882 2823 3764 4705 5646 6353 6587 7528 9410 11292 12706 13174 14115 15056 18820 19059 19761 22584 25412 26348 28230 31765 32935 37640 38118 39522 44471 45168 50824 52696 56460 63530 65870 75280 76236 79044 88942 95295 98805 101648 105392 112920 127060 131740 133413 152472 158088 177884 190590 197610 222355 225840 254120 263480 266826 304944 316176 355768 381180 395220 444710 508240 526960 533652 667065 711536 762360 790440 889420 1067304 1334130 1524720 1580880 1778840 2134608 2668260 3557680 5336520 5978173 10673040 11956346 17934519 23912692 29890865 35869038 41847211 47825384 59781730 71738076 83694422 89672595 95650768 119563460 125541633 143476152 167388844 179345190 209236055 239126920 251083266 286952304 334777688 358690380 418472110 478253840 502166532 627708165 669555376 717380760 836944220 1004333064 1255416330 1434761520 1673888440 2008666128 2510832660 3347776880 5021665320 10043330640