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996154468849 = 1719236789113199
BaseRepresentation
bin11100111111011110110…
…11101110100111110001
310112020020201101012110101
432133233123232213301
5112310111021000344
62041343235232401
7131653431163651
oct16375733564761
93466221335411
10996154468849
11354515256481
1214108a148701
1372c2467c117
14362dd822361
151ada3d549d4
hexe7ef6ee9f1

996154468849 has 128 divisors (see below), whose sum is σ = 1205591040000. Its totient is φ = 816065445888.

The previous prime is 996154468823. The next prime is 996154468879. The reversal of 996154468849 is 948864451699.

It is a 4-Lehmer number, since φ(996154468849) divides (996154468849-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 996154468849 - 231 = 994006985201 is a prime.

It is a super-2 number, since 2×9961544688492 (a number of 25 digits) contains 22 as substring.

It is a deceptive number, since it divides R996154468848.

It is not an unprimeable number, because it can be changed into a prime (996154468879) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5005801252 + ... + 5005801450.

It is an arithmetic number, because the mean of its divisors is an integer number (9418680000).

It is a Poulet number, since it divides 2996154468848-1.

Almost surely, 2996154468849 is an apocalyptic number.

It is an amenable number.

996154468849 is a deficient number, since it is larger than the sum of its proper divisors (209436571151).

996154468849 is a wasteful number, since it uses less digits than its factorization.

996154468849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its digits is 537477120, while the sum is 73.

The spelling of 996154468849 in words is "nine hundred ninety-six billion, one hundred fifty-four million, four hundred sixty-eight thousand, eight hundred forty-nine".

Divisors: 1 17 19 23 67 89 113 199 323 391 437 1139 1273 1513 1541 1691 1921 2047 2147 2599 3383 3781 4577 5963 7429 7571 10057 13333 17711 21641 22487 26197 28747 29279 34799 36499 38893 44183 49381 64277 77809 86963 101371 113297 128707 137149 143849 170969 174133 191083 226661 231311 253327 301087 306659 336509 382279 407353 427253 497743 517201 661181 673819 839477 1186637 1478371 1506629 1926049 2001343 2331533 2445433 2605831 2960261 3248411 3308527 3932287 4306559 4394909 5213203 5720653 5826521 6925001 7263301 7739707 8792417 9826819 11454923 12802561 15497837 20172829 22546103 25612693 27292651 28625951 34022831 34652467 38025517 44299127 46030889 56244959 74713453 99050857 131575019 134089981 167055923 217643537 263463229 294458903 383283751 463975067 486641167 518560369 589091939 646433789 658396873 782525113 874586891 2279529677 2547709639 3084069563 5005801351 8815526273 11192746841 14867977147 43311063863 52429182571 58597321697 996154468849