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676978484879676 = 223721399478746469
BaseRepresentation
bin1001100111101101010101011…
…0000111001010000100111100
310021202222111210120222120021210
42121323111112013022010330
51202213103414112122201
610355451342245524420
7262411036643545200
oct23173252607120474
93252874716876253
10676978484879676
11186784a65a16031
1263b16b70a13710
1323098a495a9a05
14bd25d0d726b00
15533eb6d6121d6
hex267b5561ca13c

676978484879676 has 144 divisors (see below), whose sum is σ = 1852687071446400. Its totient is φ = 191828095949952.

The previous prime is 676978484879659. The next prime is 676978484879693.

676978484879676 is nontrivially palindromic in base 10.

676978484879676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (676978484879659) and next prime (676978484879693).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73026970 + ... + 81773438.

It is an arithmetic number, because the mean of its divisors is an integer number (12865882440600).

Almost surely, 2676978484879676 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 676978484879676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926343535723200).

676978484879676 is an abundant number, since it is smaller than the sum of its proper divisors (1175708586566724).

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

676978484879676 is a wasteful number, since it uses less digits than its factorization.

676978484879676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747576 (or 8747567 counting only the distinct ones).

The product of its digits is 2064772104192, while the sum is 102.

The spelling of 676978484879676 in words is "six hundred seventy-six trillion, nine hundred seventy-eight billion, four hundred eighty-four million, eight hundred seventy-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 417 556 588 834 947 973 1668 1894 1946 2841 2919 3788 3892 5682 5838 6629 6811 11364 11676 13258 13622 19887 20433 26516 27244 39774 40866 46403 79548 81732 92806 131633 139209 185612 263266 278418 394899 526532 556836 789798 921431 1579596 1842862 2764293 3685724 5528586 6450017 8746469 11057172 12900034 17492938 19350051 25800068 26239407 34985876 38700102 52478814 61225283 77400204 104957628 122450566 183675849 244901132 367351698 428576981 734703396 857153962 1215759191 1285730943 1714307924 2431518382 2571461886 3647277573 4863036764 5142923772 7294555146 8282906143 8510314337 14589110292 16565812286 17020628674 24848718429 25530943011 33131624572 34041257348 49697436858 51061886022 57980343001 59572200359 99394873716 102123772044 115960686002 119144400718 173941029003 178716601077 231921372004 238288801436 347882058006 357433202154 405862401007 695764116012 714866404308 811724802014 1151323953877 1217587203021 1623449604028 2302647907754 2435174406042 3453971861631 4605295815508 4870348812084 6907943723262 8059267677139 13815887446524 16118535354278 24177803031417 32237070708556 48355606062834 56414873739973 96711212125668 112829747479946 169244621219919 225659494959892 338489242439838 676978484879676