Search a number
-
+
81802715418032 = 2472392934182683
BaseRepresentation
bin10010100110011000101101…
…110010110100110110110000
3101201122021002212221201100212
4102212120231302310312300
541210223430121334112
6445551352040203252
723142023355261140
oct2246305562646660
9351567085851325
1081802715418032
1124079378296564
129211ab7a69528
133684c6982b84b
14162b3b5c4a920
1596cd22a70522
hex4a662dcb4db0

81802715418032 has 80 divisors (see below), whose sum is σ = 189213461706240. Its totient is φ = 33497934514176.

The previous prime is 81802715418023. The next prime is 81802715418041. The reversal of 81802715418032 is 23081451720818.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81802715418023) and next prime (81802715418041).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14698238 + ... + 19484445.

It is an arithmetic number, because the mean of its divisors is an integer number (2365168271328).

Almost surely, 281802715418032 is an apocalyptic number.

It is an amenable number.

81802715418032 is an abundant number, since it is smaller than the sum of its proper divisors (107410746288208).

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

81802715418032 is a wasteful number, since it uses less digits than its factorization.

81802715418032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34183650 (or 34183644 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 50.

The spelling of 81802715418032 in words is "eighty-one trillion, eight hundred two billion, seven hundred fifteen million, four hundred eighteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 929 1288 1858 2576 3716 6503 7432 13006 14864 21367 26012 42734 52024 85468 104048 149569 170936 299138 341872 598276 1196552 2393104 34182683 68365366 136730732 239278781 273461464 478557562 546922928 786201709 957115124 1572403418 1914230248 3144806836 3828460496 5503411963 6289613672 11006823926 12579227344 22013647852 31755712507 44027295704 63511425014 88054591408 127022850028 222289987549 254045700056 444579975098 508091400112 730381387661 889159950196 1460762775322 1778319900392 2921525550644 3556639800784 5112669713627 5843051101288 10225339427254 11686102202576 20450678854508 40901357709016 81802715418032