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418644068305 = 51753313337881
BaseRepresentation
bin1100001011110010010…
…00011000011111010001
31111000121000200011122011
412011321020120133101
523324340340141210
6520153351142521
742150250603201
oct6057110303721
91430530604564
10418644068305
11151600731911
1269177074a41
133062a126a18
1416396368401
15ad535c6d8a
hex61792187d1

418644068305 has 64 divisors (see below), whose sum is σ = 545924328768. Its totient is φ = 307015188480.

The previous prime is 418644068287. The next prime is 418644068317. The reversal of 418644068305 is 503860446814.

It can be written as a sum of positive squares in 32 ways, for example, as 375313066384 + 43331001921 = 612628^2 + 208161^2 .

It is not a de Polignac number, because 418644068305 - 235 = 384284329937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475191465 + ... + 475192345.

It is an arithmetic number, because the mean of its divisors is an integer number (8530067637).

Almost surely, 2418644068305 is an apocalyptic number.

It is an amenable number.

418644068305 is a deficient number, since it is larger than the sum of its proper divisors (127280260463).

418644068305 is a wasteful number, since it uses less digits than its factorization.

418644068305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606.

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 418644068305 in words is "four hundred eighteen billion, six hundred forty-four million, sixty-eight thousand, three hundred five".

Divisors: 1 5 17 53 85 265 313 337 881 901 1565 1685 4405 4505 5321 5729 14977 16589 17861 26605 28645 46693 74885 82945 89305 105481 233465 275753 282013 296897 303637 527405 793781 1378765 1410065 1484485 1518185 1793177 3968905 4687801 5047249 5590493 8965885 14614909 15735541 23439005 25236245 27952465 73074545 78677705 92928761 95038381 248453453 267504197 464643805 475191905 1242267265 1337520985 1579788937 4925224333 7898944685 24626121665 83728813661 418644068305