Search a number
-
+
82345476070506 = 231123191284010637
BaseRepresentation
bin10010101110010010001100…
…110110011001110001101010
3101210120011001210212122100210
4102232102030312121301222
541243122013333224011
6451044553420441550
723226156442560015
oct2256221466316152
9353504053778323
1082345476070506
112426857a555070
12929b1313a92b6
1336c41b696053c
14164978413c37c
1597bedc7016a6
hex4ae48cd99c6a

82345476070506 has 64 divisors (see below), whose sum is σ = 188455826866176. Its totient is φ = 23743289169600.

The previous prime is 82345476070499. The next prime is 82345476070511. The reversal of 82345476070506 is 60507067454328.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 141715381 + ... + 142295256.

It is an arithmetic number, because the mean of its divisors is an integer number (2944622294784).

Almost surely, 282345476070506 is an apocalyptic number.

82345476070506 is an abundant number, since it is smaller than the sum of its proper divisors (106110350795670).

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

82345476070506 is a wasteful number, since it uses less digits than its factorization.

82345476070506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284010867.

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 82345476070506 in words is "eighty-two trillion, three hundred forty-five billion, four hundred seventy-six million, seventy thousand, five hundred six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 191 253 382 506 573 759 1146 1518 2101 4202 4393 6303 8786 12606 13179 26358 48323 96646 144969 289938 284010637 568021274 852031911 1704063822 3124117007 6248234014 6532244651 9372351021 13064489302 18744702042 19596733953 39193467906 54246031667 71854691161 108492063334 143709382322 162738095001 215564073483 325476190002 431128146966 596706348337 1193412696674 1247658728341 1790119045011 2495317456682 3580238090022 3742976185023 7485952370046 13724246011751 27448492023502 41172738035253 82345476070506