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4680455326096 = 24112491692
BaseRepresentation
bin100010000011100000011…
…1000001000100110010000
3121120110001222102210101211
41010013000320020212100
51103141033030413341
613542101013105504
7662103021564064
oct104070070104620
917513058383354
104680455326096
111544a74015500
1263712b028294
1327c499000a74
1412276ca05aa4
1581b39288181
hex441c0e08990

4680455326096 has 45 divisors (see below), whose sum is σ = 9967928610913. Its totient is φ = 2127436424960.

The previous prime is 4680455326093. The next prime is 4680455326117. The reversal of 4680455326096 is 6906235540864.

The square root of 4680455326096 is 2163436.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3209959556496 + 1470495769600 = 1791636^2 + 1212640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4680455326096.

It is not an unprimeable number, because it can be changed into a prime (4680455326093) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 95166600 + ... + 95215768.

Almost surely, 24680455326096 is an apocalyptic number.

4680455326096 is the 2163436-th square number.

It is an amenable number.

4680455326096 is an abundant number, since it is smaller than the sum of its proper divisors (5287473284817).

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

4680455326096 is an frugal number, since it uses more digits than its factorization.

4680455326096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98368 (or 49182 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 58.

The spelling of 4680455326096 in words is "four trillion, six hundred eighty billion, four hundred fifty-five million, three hundred twenty-six thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 49169 98338 196676 393352 540859 786704 1081718 2163436 4326872 5949449 8653744 11898898 23797796 47595592 95191184 2417590561 4835181122 9670362244 19340724488 26593496171 38681448976 53186992342 106373984684 212747969368 292528457881 425495938736 585056915762 1170113831524 2340227663048 4680455326096