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2115982118304 = 25327993002027
BaseRepresentation
bin11110110010101010010…
…111001100110110100000
321111021201102122220221100
4132302222113030312200
5234132012410241204
64300022504154400
7305606003146455
oct36625227146640
97437642586840
102115982118304
11746423818a1a
122a2112168a00
131246c8208b42
14745b234982c
153a095379a39
hex1ecaa5ccda0

2115982118304 has 72 divisors (see below), whose sum is σ = 6093492874560. Its totient is φ = 696399170688.

The previous prime is 2115982118279. The next prime is 2115982118417. The reversal of 2115982118304 is 4038112895112.

2115982118304 is a `hidden beast` number, since 2 + 1 + 1 + 598 + 21 + 1 + 8 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2115982118304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46478262 + ... + 46523765.

It is an arithmetic number, because the mean of its divisors is an integer number (84631845480).

Almost surely, 22115982118304 is an apocalyptic number.

2115982118304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2115982118304 is an abundant number, since it is smaller than the sum of its proper divisors (3977510756256).

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

2115982118304 is a wasteful number, since it uses less digits than its factorization.

2115982118304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93002122 (or 93002111 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 2115982118304 in words is "two trillion, one hundred fifteen billion, nine hundred eighty-two million, one hundred eighteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 93002027 186004054 279006081 372008108 558012162 744016216 837018243 1116024324 1488032432 1674036486 2232048648 2976064864 3348072972 4464097296 6696145944 7347160133 8928194592 13392291888 14694320266 22041480399 26784583776 29388640532 44082960798 58777281064 66124441197 88165921596 117554562128 132248882394 176331843192 235109124256 264497764788 352663686384 528995529576 705327372768 1057991059152 2115982118304