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122663480676 = 2231123139290669
BaseRepresentation
bin111001000111101010…
…0000010110101100100
3102201121121222110002220
41302033110002311210
54002203322340201
6132203440032340
711601500245122
oct1621724026544
9381547873086
10122663480676
1148026378620
121b9339026b0
13b74ac55639
145d18d90912
1532cdc25036
hex1c8f502d64

122663480676 has 96 divisors (see below), whose sum is σ = 328154803200. Its totient is φ = 35298721920.

The previous prime is 122663480657. The next prime is 122663480689. The reversal of 122663480676 is 676084366221.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 276670 + ... + 567338.

It is an arithmetic number, because the mean of its divisors is an integer number (3418279200).

Almost surely, 2122663480676 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 122663480676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164077401600).

122663480676 is an abundant number, since it is smaller than the sum of its proper divisors (205491322524).

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

122663480676 is a wasteful number, since it uses less digits than its factorization.

122663480676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290849 (or 290847 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 122663480676 in words is "one hundred twenty-two billion, six hundred sixty-three million, four hundred eighty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 139 253 276 278 417 506 556 759 834 1012 1518 1529 1668 3036 3058 3197 4587 6116 6394 9174 9591 12788 18348 19182 35167 38364 70334 105501 140668 211002 290669 422004 581338 872007 1162676 1744014 3197359 3488028 6394718 6685387 9592077 12789436 13370774 19184154 20056161 26741548 38368308 40112322 40402991 73539257 80224644 80805982 121208973 147078514 161611964 220617771 242417946 294157028 441235542 444432901 484835892 882471084 888865802 929268793 1333298703 1777731604 1858537586 2666597406 2787806379 3717075172 5333194812 5575612758 10221956723 11151225516 20443913446 30665870169 40887826892 61331740338 122663480676