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4641632144 = 242292335437
BaseRepresentation
bin1000101001010100…
…11010111110010000
3102222111001100021122
410110222122332100
534001224212034
62044330141412
7223011136142
oct42452327620
912874040248
104641632144
111a72097a26
12a96581868
1358c8359c6
14320656c92
151c276862e
hex114a9af90

4641632144 has 40 divisors (see below), whose sum is σ = 9072867960. Its totient is φ = 2300341248.

The previous prime is 4641632131. The next prime is 4641632153. The reversal of 4641632144 is 4412361464.

It can be written as a sum of positive squares in 4 ways, for example, as 1171008400 + 3470623744 = 34220^2 + 58912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850994 + ... + 856430.

It is an arithmetic number, because the mean of its divisors is an integer number (226821699).

Almost surely, 24641632144 is an apocalyptic number.

It is an amenable number.

4641632144 is a deficient number, since it is larger than the sum of its proper divisors (4431235816).

4641632144 is a wasteful number, since it uses less digits than its factorization.

4641632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5901 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 4641632144 is about 68129.5247598279. The cubic root of 4641632144 is about 1668.1057254993.

The spelling of 4641632144 in words is "four billion, six hundred forty-one million, six hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 229 233 458 466 916 932 1832 1864 3664 3728 5437 10874 21748 43496 53357 86992 106714 213428 426856 853712 1245073 1266821 2490146 2533642 4980292 5067284 9960584 10134568 19921168 20269136 290102009 580204018 1160408036 2320816072 4641632144