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2171104992 = 25337358979
BaseRepresentation
bin1000000101101000…
…0110111011100000
312121022022120011000
42001122012323200
513421300324432
6555234152000
7104542042110
oct20132067340
95538276130
102171104992
11a14594351
12507122600
13287a55614
141684b9040
15ca91057c
hex81686ee0

2171104992 has 96 divisors (see below), whose sum is σ = 7237036800. Its totient is φ = 620313984.

The previous prime is 2171104979. The next prime is 2171104993. The reversal of 2171104992 is 2994011712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171104993) 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 15 ways as a sum of consecutive naturals, for example, 173442 + ... + 185537.

It is an arithmetic number, because the mean of its divisors is an integer number (75385800).

Almost surely, 22171104992 is an apocalyptic number.

It is an amenable number.

2171104992 is an abundant number, since it is smaller than the sum of its proper divisors (5065931808).

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

2171104992 is a wasteful number, since it uses less digits than its factorization.

2171104992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359005 (or 358991 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 2171104992 is about 46595.1176841523. The cubic root of 2171104992 is about 1294.8723043589.

The spelling of 2171104992 in words is "two billion, one hundred seventy-one million, one hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 358979 717958 1076937 1435916 2153874 2512853 2871832 3230811 4307748 5025706 5743664 6461622 7538559 8615496 9692433 10051412 11487328 12923244 15077118 17230992 19384866 20102824 22615677 25846488 30154236 34461984 38769732 40205648 45231354 51692976 60308472 67847031 77539464 80411296 90462708 103385952 120616944 135694062 155078928 180925416 241233888 271388124 310157856 361850832 542776248 723701664 1085552496 2171104992