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82893963504 = 24311374243139
BaseRepresentation
bin100110100110011011…
…1011000000011110000
321220222000121122121110
41031030313120003300
52324231323313004
6102025253153320
75663122030662
oct1151467300360
9256860548543
1082893963504
1132178532760
121409502b840
137a80871061
14402525c532
1522525b9589
hex134cdd80f0

82893963504 has 80 divisors (see below), whose sum is σ = 239924108160. Its totient is φ = 24440474880.

The previous prime is 82893963479. The next prime is 82893963521. The reversal of 82893963504 is 40536939828.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2102034 + ... + 2141105.

It is an arithmetic number, because the mean of its divisors is an integer number (2999051352).

Almost surely, 282893963504 is an apocalyptic number.

It is an amenable number.

82893963504 is an abundant number, since it is smaller than the sum of its proper divisors (157030144656).

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

82893963504 is a wasteful number, since it uses less digits than its factorization.

82893963504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243198 (or 4243192 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

It can be divided in two parts, 8289 and 3963504, that added together give a palindrome (3971793).

The spelling of 82893963504 in words is "eighty-two billion, eight hundred ninety-three million, nine hundred sixty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 4243139 8486278 12729417 16972556 25458834 33945112 46674529 50917668 67890224 93349058 101835336 140023587 156996143 186698116 203670672 280047174 313992286 373396232 470988429 560094348 627984572 746792464 941976858 1120188696 1255969144 1726957573 1883953716 2240377392 2511938288 3453915146 3767907432 5180872719 6907830292 7535814864 10361745438 13815660584 20723490876 27631321168 41446981752 82893963504