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2132886945 = 357223281449
BaseRepresentation
bin111111100100001…
…0100010110100001
312111122101212211210
41333020110112201
513332004340240
6551351100333
7103566145200
oct17710242641
95448355753
102132886945
119a4a60592
124b63716a9
1327cb63ba7
141633ab237
15c73b1780
hex7f2145a1

2132886945 has 96 divisors (see below), whose sum is σ = 4166380800. Its totient is φ = 927252480.

The previous prime is 2132886923. The next prime is 2132886967. The reversal of 2132886945 is 5496882312.

It is an interprime number because it is at equal distance from previous prime (2132886923) and next prime (2132886967).

It is not a de Polignac number, because 2132886945 - 214 = 2132870561 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (829440) is a multiple of the sum of its prime divisors (768).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2132886894 and 2132886903.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4750081 + ... + 4750529.

It is an arithmetic number, because the mean of its divisors is an integer number (43399800).

Almost surely, 22132886945 is an apocalyptic number.

It is an amenable number.

2132886945 is a deficient number, since it is larger than the sum of its proper divisors (2033493855).

2132886945 is a wasteful number, since it uses less digits than its factorization.

2132886945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 2132886945 is about 46183.1889869030. The cubic root of 2132886945 is about 1287.2293850448.

The spelling of 2132886945 in words is "two billion, one hundred thirty-two million, eight hundred eighty-six thousand, nine hundred forty-five".

Divisors: 1 3 5 7 15 21 23 35 49 69 105 115 147 161 245 281 345 449 483 735 805 843 1127 1347 1405 1967 2245 2415 3143 3381 4215 5635 5901 6463 6735 9429 9835 10327 13769 15715 16905 19389 22001 29505 30981 32315 41307 45241 47145 51635 66003 68845 72289 96945 110005 126169 135723 154905 206535 216867 226205 316687 330015 361445 378507 506023 630845 678615 883183 950061 1084335 1518069 1583435 1892535 2530115 2649549 2901887 4415915 4750305 6182281 7590345 8705661 13247745 14509435 18546843 20313209 30911405 43528305 60939627 92734215 101566045 142192463 304698135 426577389 710962315 2132886945