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9994519510921 = 1123127321272
BaseRepresentation
bin1001000101110000011111…
…0010001111111110001001
31022101110121020201120011101
42101130013302033332021
52302222233443322141
633131230251101401
72051036340064111
oct221340762177611
938343536646141
109994519510921
113203719786500
121155008441861
1357662c8b648a
14267a47314041
15124ea8c29531
hex91707c8ff89

9994519510921 has 81 divisors (see below), whose sum is σ = 11600488095399. Its totient is φ = 8604096177600.

The previous prime is 9994519510861. The next prime is 9994519510957. The reversal of 9994519510921 is 1290159154999.

It is a happy number.

The square root of 9994519510921 is 3161411.

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

It can be written as a sum of positive squares in only one way, i.e., 5673376153225 + 4321143357696 = 2381885^2 + 2078736^2 .

It is not a de Polignac number, because 9994519510921 - 211 = 9994519508873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9994519519921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78697003960 + ... + 78697004086.

Almost surely, 29994519510921 is an apocalyptic number.

9994519510921 is the 3161411-st square number.

9994519510921 is the 1580706-th centered octagonal number.

It is an amenable number.

9994519510921 is a deficient number, since it is larger than the sum of its proper divisors (1605968584478).

9994519510921 is an equidigital number, since it uses as much as digits as its factorization.

9994519510921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 11809800, while the sum is 64.

Multiplying 9994519510921 by its sum of digits (64), we get a square (639649248698944 = 252912882).

The spelling of 9994519510921 in words is "nine trillion, nine hundred ninety-four billion, five hundred nineteen million, five hundred ten thousand, nine hundred twenty-one".

Divisors: 1 11 31 73 121 127 341 803 961 1397 2263 3751 3937 5329 8833 9271 10571 15367 16129 24893 43307 58619 70153 101981 116281 122047 165199 177419 273823 287401 476377 499999 644809 676783 771683 1121791 1177417 1342517 1817189 1951609 3161411 5121169 5499989 7444613 8488513 8909431 12951587 14767687 15499969 19989079 20980273 34775521 36499927 56332859 60499879 81890743 85951441 98003741 142467457 170499659 230783003 401499197 619661449 650388463 945465851 1078041151 1131497737 1875496249 2538613033 2664494671 4416491167 7154273093 10400124361 12446475107 29309441381 78697004023 82599334801 136911226177 322403855191 908592682811 9994519510921