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59684444416 = 28152692
BaseRepresentation
bin110111100101011110…
…000101100100000000
312201001111210220212101
4313211132011210000
51434213204210131
643230232440144
74212015256402
oct674536054400
9181044726771
1059684444416
1123348349523
12b698249054
135822273bcc
142c629d0b72
151844bbec61
hexde5785900

59684444416 has 27 divisors (see below), whose sum is σ = 119143549441. Its totient is φ = 29840267776.

The previous prime is 59684444411. The next prime is 59684444453. The reversal of 59684444416 is 61444448695.

The square root of 59684444416 is 244304.

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., 26995804416 + 32688640000 = 164304^2 + 180800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59684444411) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3901230 + ... + 3916498.

Almost surely, 259684444416 is an apocalyptic number.

59684444416 is the 244304-th square number.

It is an amenable number.

59684444416 is a deficient number, since it is larger than the sum of its proper divisors (59459105025).

59684444416 is an frugal number, since it uses more digits than its factorization.

59684444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30554 (or 15271 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 55.

It can be divided in two parts, 59684 and 444416, that added together give a square (504100 = 7102).

The spelling of 59684444416 in words is "fifty-nine billion, six hundred eighty-four million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 15269 30538 61076 122152 244304 488608 977216 1954432 3908864 233142361 466284722 932569444 1865138888 3730277776 7460555552 14921111104 29842222208 59684444416