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4198521616 = 249721672
BaseRepresentation
bin1111101001000000…
…0101101100010000
3101211121020222220121
43322100011230100
532044310142431
61532340520024
7206020562542
oct37220055420
911747228817
104198521616
111864a57483
129920b0014
1351baabb23
142bb86d692
151988db611
hexfa405b10

4198521616 has 45 divisors (see below), whose sum is σ = 8268874869. Its totient is φ = 2065178112.

The previous prime is 4198521601. The next prime is 4198521619. The reversal of 4198521616 is 6161258914.

The square root of 4198521616 is 64796.

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., 1885296400 + 2313225216 = 43420^2 + 48096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4198521619) 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, 25140765 + ... + 25140931.

Almost surely, 24198521616 is an apocalyptic number.

4198521616 is the 64796-th square number.

It is an amenable number.

4198521616 is a deficient number, since it is larger than the sum of its proper divisors (4070353253).

4198521616 is an frugal number, since it uses more digits than its factorization.

4198521616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 266 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The cubic root of 4198521616 is about 1613.2393168961.

The spelling of 4198521616 in words is "four billion, one hundred ninety-eight million, five hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 97 167 194 334 388 668 776 1336 1552 2672 9409 16199 18818 27889 32398 37636 55778 64796 75272 111556 129592 150544 223112 259184 446224 1571303 2705233 3142606 5410466 6285212 10820932 12570424 21641864 25140848 43283728 262407601 524815202 1049630404 2099260808 4198521616