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995483689201 = 193137536171199
BaseRepresentation
bin11100111110001110111…
…00111010000011110001
310112011111222012001202201
432133013130322003301
5112302222311023301
62041152514143201
7131631004513111
oct16370734720361
93464458161681
10995483689201
11354200654831
12140b21581b01
1372b48700ba1
14362786d3041
151ad65005201
hexe7c773a0f1

995483689201 has 128 divisors (see below), whose sum is σ = 1172496384000. Its totient is φ = 840647808000.

The previous prime is 995483689183. The next prime is 995483689217. The reversal of 995483689201 is 102986384599.

It is a 4-Lehmer number, since φ(995483689201) divides (995483689201-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 995483689201 - 229 = 994946818289 is a prime.

It is a deceptive number, since it divides R995483689200.

It is not an unprimeable number, because it can be changed into a prime (995483689271) 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 127 ways as a sum of consecutive naturals, for example, 5002430500 + ... + 5002430698.

It is an arithmetic number, because the mean of its divisors is an integer number (9160128000).

It is a Poulet number, since it divides 2995483689200-1.

Almost surely, 2995483689201 is an apocalyptic number.

It is an amenable number.

995483689201 is a deficient number, since it is larger than the sum of its proper divisors (177012694799).

995483689201 is a wasteful number, since it uses less digits than its factorization.

995483689201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

The product of its (nonzero) digits is 33592320, while the sum is 64.

The spelling of 995483689201 in words is "nine hundred ninety-five billion, four hundred eighty-three million, six hundred eighty-nine thousand, two hundred one".

Divisors: 1 19 31 37 53 61 71 199 589 703 1007 1147 1159 1349 1643 1891 1961 2201 2257 2627 3233 3763 3781 4331 6169 7363 10547 12139 14129 21793 31217 35929 37259 41819 42883 49913 60791 61427 69967 71497 81437 82289 100223 116653 117211 119621 134261 139231 139897 160247 200393 228253 229543 230641 268451 326957 376309 390239 437999 449143 522773 643367 748837 861869 1155029 1329373 1547303 1904237 2216407 2272799 2550959 2645389 3044693 3708251 4316161 4336807 4361317 4967657 6212183 7115833 7149871 7414541 8321981 8493091 8533717 9932687 12097409 12223973 13923433 14227903 16205963 16375511 19944377 23213947 23804579 26717939 27706969 31889153 45679057 70456769 82007059 94385483 135200827 161368729 229850771 263285821 264545227 307913297 378943163 441064993 452287001 507640841 526432411 605893907 737941949 858916039 867902083 988563743 1416050767 1690125109 5002430599 14020897031 16319404741 18782711117 26904964573 32112377071 52393878379 995483689201