Search a number
-
+
1983401392077 = 327313067331127
BaseRepresentation
bin11100110111001011111…
…011110111011111001101
321000121111122122012110200
4130313023323313133031
5224444001224021302
64115054555124113
7263203351444110
oct34671373673715
97017448565420
101983401392077
116a5179418aa6
12280491143639
1311505977c091
146bdd6218577
15368d5b9181c
hex1cdcbef77cd

1983401392077 has 48 divisors (see below), whose sum is σ = 3380917542912. Its totient is φ = 1096450901280.

The previous prime is 1983401392051. The next prime is 1983401392099. The reversal of 1983401392077 is 7702931043891.

1983401392077 is a `hidden beast` number, since 1 + 9 + 83 + 401 + 3 + 92 + 0 + 77 = 666.

It is not a de Polignac number, because 1983401392077 - 216 = 1983401326541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983401396077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5824288 + ... + 6155414.

It is an arithmetic number, because the mean of its divisors is an integer number (70435782144).

Almost surely, 21983401392077 is an apocalyptic number.

It is an amenable number.

1983401392077 is a deficient number, since it is larger than the sum of its proper divisors (1397516150835).

1983401392077 is a wasteful number, since it uses less digits than its factorization.

1983401392077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334238 (or 334235 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1983401392077 in words is "one trillion, nine hundred eighty-three billion, four hundred one million, three hundred ninety-two thousand, seventy-seven".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 3067 9201 21469 27603 64407 95077 193221 285231 331127 665539 855693 993381 1996617 2317889 2980143 5989851 6953667 10264937 20861001 30794811 71854559 92384433 215563677 646691031 1015566509 3046699527 7108965563 9140098581 21326896689 31482561779 63980690067 94447685337 220377932453 283343056011 661133797359 1983401392077