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82958999976 = 23322115460703
BaseRepresentation
bin100110101000010111…
…1011110000110101000
321221010112222211212200
41031100233132012220
52324400000444401
6102035535140200
75664541602456
oct1152057360650
9257115884780
1082958999976
1132201213606
12140b2974660
137a91192588
14402db4b9d6
152258164686
hex1350bde1a8

82958999976 has 48 divisors (see below), whose sum is σ = 225745503360. Its totient is φ = 27521938080.

The previous prime is 82958999971. The next prime is 82959000041. The reversal of 82958999976 is 67999985928.

82958999976 is a `hidden beast` number, since 8 + 29 + 589 + 9 + 9 + 9 + 7 + 6 = 666.

It is a super-3 number, since 3×829589999763 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82958999895 and 82958999904.

It is not an unprimeable number, because it can be changed into a prime (82958999971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2715160 + ... + 2745543.

It is an arithmetic number, because the mean of its divisors is an integer number (4703031320).

Almost surely, 282958999976 is an apocalyptic number.

It is an amenable number.

82958999976 is an abundant number, since it is smaller than the sum of its proper divisors (142786503384).

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

82958999976 is a wasteful number, since it uses less digits than its factorization.

82958999976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460926 (or 5460919 counting only the distinct ones).

The product of its digits is 1587237120, while the sum is 81.

The spelling of 82958999976 in words is "eighty-two billion, nine hundred fifty-eight million, nine hundred ninety-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 211 422 633 844 1266 1688 1899 2532 3798 5064 7596 15192 5460703 10921406 16382109 21842812 32764218 43685624 49146327 65528436 98292654 131056872 196585308 393170616 1152208333 2304416666 3456624999 4608833332 6913249998 9217666664 10369874997 13826499996 20739749994 27652999992 41479499988 82958999976