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3999669993 = 32111937101569
BaseRepresentation
bin1110111001100110…
…0001111011101001
3101022202002021202200
43232121201323221
531142403414433
61500514450413
7201054430314
oct35631417351
911282067680
103999669993
1117727892a0
12937593a09
134b9837447
1429d2a997b
1518620c613
hexee661ee9

3999669993 has 96 divisors (see below), whose sum is σ = 6893078400. Its totient is φ = 2208384000.

The previous prime is 3999669979. The next prime is 3999669997.

3999669993 is a `hidden beast` number, since 399 + 9 + 66 + 99 + 93 = 666.

3999669993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3999669993 - 24 = 3999669977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3999669997) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7029013 + ... + 7029581.

It is an arithmetic number, because the mean of its divisors is an integer number (71802900).

Almost surely, 23999669993 is an apocalyptic number.

3999669993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3999669993 is a deficient number, since it is larger than the sum of its proper divisors (2893408407).

3999669993 is a wasteful number, since it uses less digits than its factorization.

3999669993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 740 counting only the distinct ones).

The product of its digits is 172186884, while the sum is 72.

The square root of 3999669993 is about 63242.9442151455. The cubic root of 3999669993 is about 1587.3573963127.

The spelling of 3999669993 in words is "three billion, nine hundred ninety-nine million, six hundred sixty-nine thousand, nine hundred ninety-three".

Divisors: 1 3 9 11 19 33 37 57 99 101 111 171 209 303 333 407 569 627 703 909 1111 1221 1707 1881 1919 2109 3333 3663 3737 5121 5757 6259 6327 7733 9999 10811 11211 17271 18777 21053 21109 23199 32433 33633 41107 56331 57469 63159 63327 69597 71003 97299 118921 123321 172407 189477 189981 213009 231583 356763 369963 400007 517221 632159 639027 694749 781033 1070289 1091911 1200021 1896477 2084247 2126353 2343099 3275733 3600063 4400077 5689431 6379059 7029297 9827199 12011021 13200231 19137177 23389883 36033063 39600693 40400707 70169649 108099189 121202121 210508947 363606363 444407777 1333223331 3999669993