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98943664443849 = 3837233192
BaseRepresentation
bin10110011111110100011101…
…111110001101000111001001
3110222022220220002121100000000
4112133310131332031013021
5100432043111044200344
6550234031505433213
726561305146103251
oct2637643576150711
9428286802540000
1098943664443849
1129587855139115
12b11bb4103b809
134329469674bc4
141a60c8287c961
15b68b42396a69
hex59fd1df8d1c9

98943664443849 has 81 divisors (see below), whose sum is σ = 152573358002247. Its totient is φ = 64160337182256.

The previous prime is 98943664443839. The next prime is 98943664443931. The reversal of 98943664443849 is 94834446634989.

The square root of 98943664443849 is 9947043.

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

98943664443849 is a `hidden beast` number, since 9 + 8 + 9 + 4 + 36 + 64 + 443 + 84 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88536149703225 + 10407514740624 = 9409365^2 + 3226068^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 98943664443849 - 237 = 98806225490377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (98943664443839) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29811286212 + ... + 29811289530.

Almost surely, 298943664443849 is an apocalyptic number.

98943664443849 is the 9947043-rd square number.

98943664443849 is the 4973522-nd centered octagonal number.

It is an amenable number.

98943664443849 is a deficient number, since it is larger than the sum of its proper divisors (53629693558398).

98943664443849 is an frugal number, since it uses more digits than its factorization.

98943664443849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 3359 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 81.

98943664443849 divided by its sum of digits (81) gives a square (1221526721529 = 11052272).

The spelling of 98943664443849 in words is "ninety-eight trillion, nine hundred forty-three billion, six hundred sixty-four million, four hundred forty-three thousand, eight hundred forty-nine".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 1369 2187 2997 3319 4107 6561 8991 9957 12321 26973 29871 36963 80919 89613 110889 122803 242757 268839 332667 368409 806517 998001 1105227 2419551 2994003 3315681 4543711 7258653 8982009 9947043 11015761 13631133 21775959 29841129 33047283 40893399 89523387 99141849 122680197 268570161 297425547 368040591 407583157 805710483 892276641 1104121773 1222749471 2676829923 3312365319 3668248413 8030489769 9937095957 11004745239 15080576809 24091469307 29811287871 33014235717 45241730427 72274407921 99042707151 135725191281 297128121453 407175573843 891384364359 1221526721529 2674153093077 3664580164587 10993740493761 32981221481283 98943664443849