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9944057020768 = 2513316711508899
BaseRepresentation
bin1001000010110100011111…
…1111001000000101100000
31022012122100102122110022121
42100231013333020011200
52300410412044131033
633052123044514024
72044302001021423
oct220550777100540
938178312573277
109944057020768
113194283a46792
1211472846ab914
1357194a095950
1426541b3d39ba
15123a0397a62d
hex90b47fc8160

9944057020768 has 96 divisors (see below), whose sum is σ = 22088249164800. Its totient is φ = 4375222663680.

The previous prime is 9944057020757. The next prime is 9944057020789. The reversal of 9944057020768 is 8670207504499.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4890418 + ... + 6618481.

It is an arithmetic number, because the mean of its divisors is an integer number (230085928800).

Almost surely, 29944057020768 is an apocalyptic number.

It is an amenable number.

9944057020768 is an abundant number, since it is smaller than the sum of its proper divisors (12144192144032).

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

9944057020768 is a wasteful number, since it uses less digits than its factorization.

9944057020768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509020 (or 11509012 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 9944057020768 in words is "nine trillion, nine hundred forty-four billion, fifty-seven million, twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 67 104 124 134 208 248 268 403 416 496 536 806 871 992 1072 1612 1742 2077 2144 3224 3484 4154 6448 6968 8308 12896 13936 16616 27001 27872 33232 54002 66464 108004 216008 432016 864032 11508899 23017798 46035596 92071192 149615687 184142384 299231374 356775869 368284768 598462748 713551738 771096233 1196925496 1427103476 1542192466 2393850992 2854206952 3084384932 4638086297 4787701984 5708413904 6168769864 9276172594 10024251029 11416827808 12337539728 18552345188 20048502058 23903983223 24675079456 37104690376 40097004116 47807966446 74209380752 80194008232 95615932892 148418761504 160388016464 191231865784 310751781899 320776032928 382463731568 621503563798 764927463136 1243007127596 2486014255192 4972028510384 9944057020768