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82714061331 = 34111918672617
BaseRepresentation
bin100110100001000100…
…1000110101000010011
321220111111002200020000
41031002021012220103
52323344244430311
6101555345221043
75655505630566
oct1150211065023
9256444080200
1082714061331
1132095a27580
1214044931783
137a52502875
1440093cc4dd
1522418d0056
hex1342246a13

82714061331 has 80 divisors (see below), whose sum is σ = 142017912960. Its totient is φ = 47447752320.

The previous prime is 82714061299. The next prime is 82714061333. The reversal of 82714061331 is 13316041728.

It is a happy number.

82714061331 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 4 + 0 + 613 + 31 = 666.

It is not a de Polignac number, because 82714061331 - 25 = 82714061299 is a prime.

It is a super-2 number, since 2×827140613312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82714061333) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31605135 + ... + 31607751.

It is an arithmetic number, because the mean of its divisors is an integer number (1775223912).

Almost surely, 282714061331 is an apocalyptic number.

82714061331 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82714061331 is a deficient number, since it is larger than the sum of its proper divisors (59303851629).

82714061331 is a wasteful number, since it uses less digits than its factorization.

82714061331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 82714061331 in words is "eighty-two billion, seven hundred fourteen million, sixty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 891 1539 1867 1881 2617 5601 5643 7851 16803 16929 20537 23553 28787 35473 49723 50409 61611 70659 86361 106419 149169 151227 184833 211977 259083 319257 390203 447507 546953 554499 777249 957771 1170609 1342521 1640859 1663497 2331747 2873313 3511827 4027563 4885939 4922577 10535481 14657817 14767731 31606443 43973451 44303193 53745329 92832841 131920353 161235987 278498523 395761059 483707961 835495569 1021161251 1451123883 2506486707 3063483753 4353371649 7519460121 9190451259 27571353777 82714061331