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4146844816 = 241729472
BaseRepresentation
bin1111011100101011…
…1101010010010000
3101201000000112200001
43313022331102100
531443043013231
61523253135344
7204522412402
oct36712752220
911630015601
104146844816
111838870984
1297892a554
1351118743a
142b4a5ab72
151940ceb61
hexf72bd490

4146844816 has 45 divisors (see below), whose sum is σ = 8543953369. Its totient is φ = 1949395712.

The previous prime is 4146844811. The next prime is 4146844817. The reversal of 4146844816 is 6184486414.

The square root of 4146844816 is 64396.

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., 3228512400 + 918332416 = 56820^2 + 30304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4146844811) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4378455 + ... + 4379401.

Almost surely, 24146844816 is an apocalyptic number.

4146844816 is the 64396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146844816

4146844816 is an abundant number, since it is smaller than the sum of its proper divisors (4397108553).

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

4146844816 is an frugal number, since it uses more digits than its factorization.

4146844816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 966 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The cubic root of 4146844816 is about 1606.5932123999.

The spelling of 4146844816 in words is "four billion, one hundred forty-six million, eight hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 947 1156 1894 2312 3788 4624 7576 15152 16099 32198 64396 128792 257584 273683 547366 896809 1094732 1793618 2189464 3587236 4378928 7174472 14348944 15245753 30491506 60983012 121966024 243932048 259177801 518355602 1036711204 2073422408 4146844816