Search a number
-
+
83080211320743 = 37131975212965043
BaseRepresentation
bin10010111000111110011110…
…011110111100111110100111
3101220011101112202212120122020
4102320332132132330332213
541342141233044230433
6452410304443034223
723333230041263460
oct2270763636747647
9356141482776566
1083080211320743
112452113543733a
12939960280b973
133748579515c90
141673164713d67
15991190e8ecb3
hex4b8f9e7bcfa7

83080211320743 has 64 divisors (see below), whose sum is σ = 137291879273472. Its totient is φ = 43516379612160.

The previous prime is 83080211320727. The next prime is 83080211320753. The reversal of 83080211320743 is 34702311208038.

It is a happy number.

It is not a de Polignac number, because 83080211320743 - 24 = 83080211320727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83080211320695 and 83080211320704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83080211320753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26537380 + ... + 29502422.

It is an arithmetic number, because the mean of its divisors is an integer number (2145185613648).

Almost surely, 283080211320743 is an apocalyptic number.

83080211320743 is a deficient number, since it is larger than the sum of its proper divisors (54211667952729).

83080211320743 is a wasteful number, since it uses less digits than its factorization.

83080211320743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965784.

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 83080211320743 in words is "eighty-three trillion, eighty billion, two hundred eleven million, three hundred twenty thousand, seven hundred forty-three".

Divisors: 1 3 7 13 21 39 91 197 273 521 591 1379 1563 2561 3647 4137 6773 7683 10941 17927 20319 47411 53781 102637 142233 307911 718459 1334281 2155377 2965043 4002843 8895129 9339967 20755301 28019901 38545559 62265903 115636677 269818913 584113471 809456739 1544787403 1752340413 4088794297 4634362209 7593475123 10813511821 12266382891 20082236239 22780425369 32440535463 53154325861 60246708717 140575653673 159462977583 304323118391 421726961019 912969355173 2130261828737 3956200539083 6390785486211 11868601617249 27693403773581 83080211320743