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641116144977 = 371122331353869
BaseRepresentation
bin10010101010001011000…
…00000000010101010001
32021021211111010122001120
421111011200000111101
541001001213114402
61210305155552453
764214312213550
oct11250540002521
92237744118046
10641116144977
11227994393900
12a43045bb729
13485c3024289
142305cb93d97
1511a248293bc
hex9545800551

641116144977 has 96 divisors (see below), whose sum is σ = 1156662312960. Its totient is φ = 308289801600.

The previous prime is 641116144901. The next prime is 641116144993. The reversal of 641116144977 is 779441611146.

It is not a de Polignac number, because 641116144977 - 218 = 641115882833 is a prime.

It is a super-2 number, since 2×6411161449772 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641116144997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1634799 + ... + 1988667.

It is an arithmetic number, because the mean of its divisors is an integer number (12048565760).

Almost surely, 2641116144977 is an apocalyptic number.

It is an amenable number.

641116144977 is a deficient number, since it is larger than the sum of its proper divisors (515546167983).

641116144977 is a wasteful number, since it uses less digits than its factorization.

641116144977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353955 (or 353944 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The spelling of 641116144977 in words is "six hundred forty-one billion, one hundred sixteen million, one hundred forty-four thousand, nine hundred seventy-seven".

Divisors: 1 3 7 11 21 23 31 33 69 77 93 121 161 217 231 253 341 363 483 651 713 759 847 1023 1771 2139 2387 2541 2783 3751 4991 5313 7161 7843 8349 11253 14973 19481 23529 26257 54901 58443 78771 86273 164703 258819 353869 603911 1061607 1811733 2477083 3892559 7431249 8138987 10969939 11677677 24416961 27247913 32909817 42818149 56972909 76789573 81743739 89528857 120669329 128454447 170918727 230368719 252308597 268586571 299727043 362007987 626701999 756925791 844685303 899181129 984817427 1327362619 1766160179 1880105997 2534055909 2775394567 2954452281 3982087857 5298480537 6893721989 8326183701 9291538333 19427761969 20681165967 27874614999 30529340237 58283285907 91588020711 213705381659 641116144977