Search a number
-
+
80920651734 = 232138922717117
BaseRepresentation
bin100101101011100111…
…1110010011111010110
321201212111111000202100
41023113033302133112
52311211141323414
6101101402222530
75563201122306
oct1132717623726
9251774430670
1080920651734
113135566438a
12138241b4a46
137827aac460
143cb914d606
152189229609
hex12d73f27d6

80920651734 has 96 divisors (see below), whose sum is σ = 191788702560. Its totient is φ = 24509016576.

The previous prime is 80920651733. The next prime is 80920651741. The reversal of 80920651734 is 43715602908.

80920651734 is a `hidden beast` number, since 80 + 9 + 20 + 6 + 517 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 80920651734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80920651733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4718944 + ... + 4736060.

It is an arithmetic number, because the mean of its divisors is an integer number (1997798985).

It is a 1-persistent number, because it is pandigital, but 2⋅80920651734 = 161841303468 is not.

Almost surely, 280920651734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80920651734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95894351280).

80920651734 is an abundant number, since it is smaller than the sum of its proper divisors (110868050826).

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

80920651734 is a wasteful number, since it uses less digits than its factorization.

80920651734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17454 (or 17451 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 80920651734 in words is "eighty billion, nine hundred twenty million, six hundred fifty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 227 234 267 454 534 681 801 1157 1362 1602 2043 2314 2951 3471 4086 5902 6942 8853 10413 17117 17706 20203 20826 26559 34234 40406 51351 53118 60609 102702 121218 154053 181827 222521 262639 308106 363654 445042 525278 667563 787917 1335126 1523413 1575834 2002689 2363751 3046826 3885559 4005378 4570239 4727502 7771118 9140478 11656677 13710717 19804369 23313354 27421434 34970031 39608738 50512267 59413107 69940062 101024534 118826214 151536801 178239321 303073602 345814751 356478642 454610403 691629502 909220806 1037444253 2074888506 3112332759 4495591763 6224665518 8991183526 13486775289 26973550578 40460325867 80920651734