Search a number
-
+
80427737680 = 24523374312741
BaseRepresentation
bin100101011100111011…
…1011110001001010000
321200121010222101210021
41022321313132021100
52304204000101210
6100540433313224
75545034330143
oct1127167361120
9250533871707
1080427737680
11311223a77a4
1213707105814
137779938734
143c6d8c005a
15215ad10bda
hex12b9dde250

80427737680 has 160 divisors (see below), whose sum is σ = 200936567808. Its totient is φ = 29860300800.

The previous prime is 80427737659. The next prime is 80427737693. The reversal of 80427737680 is 8673772408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29341110 + ... + 29343850.

Almost surely, 280427737680 is an apocalyptic number.

80427737680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80427737680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100468283904).

80427737680 is an abundant number, since it is smaller than the sum of its proper divisors (120508830128).

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

80427737680 is a wasteful number, since it uses less digits than its factorization.

80427737680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 52.

The spelling of 80427737680 in words is "eighty billion, four hundred twenty-seven million, seven hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 80 92 115 148 184 185 230 296 368 370 431 460 592 740 851 862 920 1480 1702 1724 1840 2155 2741 2960 3404 3448 4255 4310 5482 6808 6896 8510 8620 9913 10964 13616 13705 15947 17020 17240 19826 21928 27410 31894 34040 34480 39652 43856 49565 54820 63043 63788 68080 79304 79735 99130 101417 109640 126086 127576 158608 159470 198260 202834 219280 252172 255152 315215 318940 366781 396520 405668 504344 507085 630430 637880 733562 793040 811336 1008688 1014170 1181371 1260860 1275760 1467124 1622672 1833905 2028340 2332591 2362742 2521720 2934248 3667810 4056680 4665182 4725484 5043440 5868496 5906855 7335620 8113360 9330364 9450968 11662955 11813710 14671240 18660728 18901936 23325910 23627420 27171533 29342480 37321456 43710727 46651820 47254840 54343066 87421454 93303640 94509680 108686132 135857665 174842908 186607280 217372264 218553635 271715330 349685816 434744528 437107270 543430660 699371632 874214540 1005346721 1086861320 1748429080 2010693442 2173722640 3496858160 4021386884 5026733605 8042773768 10053467210 16085547536 20106934420 40213868840 80427737680