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67988688976 = 2413673485689
BaseRepresentation
bin111111010100011100…
…010001000001010000
320111111020201020211201
4333110130101001100
52103220101021401
651122241320544
74624552215055
oct772434210120
9214436636751
1067988688976
112691992a35a
1211215336154
13654683caa0
14340d85502c
151b7dc66b01
hexfd4711050

67988688976 has 40 divisors (see below), whose sum is σ = 142072096040. Its totient is φ = 31332704256.

The previous prime is 67988688959. The next prime is 67988689019.

67988688976 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1031951376 + 66956737600 = 32124^2 + 258760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67988688976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102861 + ... + 382828.

It is an arithmetic number, because the mean of its divisors is an integer number (3551802401).

Almost surely, 267988688976 is an apocalyptic number.

It is an amenable number.

67988688976 is an abundant number, since it is smaller than the sum of its proper divisors (74083407064).

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

67988688976 is a wasteful number, since it uses less digits than its factorization.

67988688976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486383 (or 486377 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 82.

The spelling of 67988688976 in words is "sixty-seven billion, nine hundred eighty-eight million, six hundred eighty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 673 1346 2692 5384 8749 10768 17498 34996 69992 139984 485689 971378 1942756 3885512 6313957 7771024 12627914 25255828 50511656 101023312 326868697 653737394 1307474788 2614949576 4249293061 5229899152 8498586122 16997172244 33994344488 67988688976