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999337891624072 = 2371113373372768757
BaseRepresentation
bin1110001100111001000111110…
…0000010100111010010001000
311212001100202202220102211120021
43203032101330002213102020
52021441123000223432242
613501225253431110224
7420331531362656260
oct34316217402472210
94761322686384507
10999337891624072
1126a468902155a40
12940ba465b12374
1333b8020ac0b880
14138ac2d7b527a0
157a80112aabb67
hex38ce47c0a7488

999337891624072 has 128 divisors (see below), whose sum is σ = 2583810690128640. Its totient is φ = 349688664622080.

The previous prime is 999337891624067. The next prime is 999337891624087. The reversal of 999337891624072 is 270426198733999.

It is a happy number.

It is a super-3 number, since 3×9993378916240723 (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 999337891623983 and 999337891624001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1686088083 + ... + 1686680674.

It is an arithmetic number, because the mean of its divisors is an integer number (20186021016630).

Almost surely, 2999337891624072 is an apocalyptic number.

It is an amenable number.

999337891624072 is an abundant number, since it is smaller than the sum of its proper divisors (1584472798504568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

999337891624072 is a wasteful number, since it uses less digits than its factorization.

999337891624072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372768831 (or 3372768827 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 79.

The spelling of 999337891624072 in words is "nine hundred ninety-nine trillion, three hundred thirty-seven billion, eight hundred ninety-one million, six hundred twenty-four thousand, seventy-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 37 44 52 56 74 77 88 91 104 143 148 154 182 259 286 296 308 364 407 481 518 572 616 728 814 962 1001 1036 1144 1628 1924 2002 2072 2849 3256 3367 3848 4004 5291 5698 6734 8008 10582 11396 13468 21164 22792 26936 37037 42328 74074 148148 296296 3372768757 6745537514 13491075028 23609381299 26982150056 37100456327 43845993841 47218762598 74200912654 87691987682 94437525196 124792444009 148401825308 175383975364 188875050392 249584888018 259703194289 296803650616 306921956887 350767950728 482305932251 499169776036 519406388578 613843913774 873547108063 964611864502 998339552072 1038812777156 1227687827548 1372716884099 1622301772117 1747094216126 1929223729004 2077625554312 2455375655096 2745433768198 3244603544234 3376141525757 3494188432252 3858447458008 5490867536396 6489207088468 6752283051514 6988376864504 9609018188693 10981735072792 11356112404819 12978414176936 13504566103028 17845319493287 19218036377386 22712224809638 27009132206056 35690638986574 38436072754772 45424449619276 71381277973148 76872145509544 90848899238552 124917236453009 142762555946296 249834472906018 499668945812036 999337891624072