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442624342164 = 22336885361847
BaseRepresentation
bin1100111000011100111…
…01110111100010010100
31120022111020210022011020
412130032131313202110
524222443312422124
6535201103441140
743656433555104
oct6341635674224
91508436708136
10442624342164
111607969a1564
1271949bb61b0
133297c307494
14175cd10b204
15b7a89bd379
hex670e777894

442624342164 has 12 divisors (see below), whose sum is σ = 1032790131744. Its totient is φ = 147541447384.

The previous prime is 442624342163. The next prime is 442624342211. The reversal of 442624342164 is 461243426244.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×4426243421642 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442624342163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18442680912 + ... + 18442680935.

It is an arithmetic number, because the mean of its divisors is an integer number (86065844312).

Almost surely, 2442624342164 is an apocalyptic number.

It is an amenable number.

442624342164 is an abundant number, since it is smaller than the sum of its proper divisors (590165789580).

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

442624342164 is a wasteful number, since it uses less digits than its factorization.

442624342164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36885361854 (or 36885361852 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The spelling of 442624342164 in words is "four hundred forty-two billion, six hundred twenty-four million, three hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 36885361847 73770723694 110656085541 147541447388 221312171082 442624342164