Search a number
-
+
6982179084 = 22322953257491
BaseRepresentation
bin1101000000010101…
…11001100100001100
3200000121012110002100
412200022321210030
5103244414212314
63112500155100
7335011354146
oct64012714414
920017173070
106982179084
112a63292541
12142a398a90
1387370661a
144a343bc96
152ace98c09
hex1a02b990c

6982179084 has 144 divisors (see below), whose sum is σ = 18712905120. Its totient is φ = 2191687680.

The previous prime is 6982179079. The next prime is 6982179151. The reversal of 6982179084 is 4809712896.

It is a super-2 number, since 2×69821790842 = 97501649522094158112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6982179084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14220079 + ... + 14220569.

It is an arithmetic number, because the mean of its divisors is an integer number (129950730).

Almost surely, 26982179084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6982179084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356452560).

6982179084 is an abundant number, since it is smaller than the sum of its proper divisors (11730726036).

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

6982179084 is a wasteful number, since it uses less digits than its factorization.

6982179084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 6982179084 is about 83559.4344404030. The cubic root of 6982179084 is about 1911.3064610413.

The spelling of 6982179084 in words is "six billion, nine hundred eighty-two million, one hundred seventy-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 87 106 116 159 174 212 257 261 318 348 477 491 514 522 636 771 954 982 1028 1044 1473 1537 1542 1908 1964 2313 2946 3074 3084 4419 4611 4626 5892 6148 7453 8838 9222 9252 13621 13833 14239 14906 17676 18444 22359 26023 27242 27666 28478 29812 40863 42717 44718 52046 54484 55332 56956 67077 78069 81726 85434 89436 104092 122589 126187 128151 134154 156138 163452 170868 234207 245178 252374 256302 268308 312276 378561 395009 468414 490356 504748 512604 754667 757122 790018 936828 1135683 1185027 1509334 1514244 1580036 2264001 2271366 2370054 3018668 3555081 3659423 4528002 4542732 4740108 6687911 6792003 7110162 7318846 9056004 10978269 13375822 13584006 14220324 14637692 20063733 21956538 26751644 27168012 32934807 40127466 43913076 60191199 65869614 80254932 120382398 131739228 193949419 240764796 387898838 581848257 775797676 1163696514 1745544771 2327393028 3491089542 6982179084