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4445604834084 = 22335913117929753
BaseRepresentation
bin100000010110001001010…
…1100100110101100100100
3120201222212211210200101000
41000230102230212230210
51040314044314142314
613242141020033300
7636120142414101
oct100542254465444
916658784720330
104445604834084
111464409039897
125b9708092830
132632ac746bab
14115250215aa8
157a991467209
hex40b12b26b24

4445604834084 has 192 divisors, whose sum is σ = 11876844672000. Its totient is φ = 1437507152640.

The previous prime is 4445604834079. The next prime is 4445604834091. The reversal of 4445604834084 is 4804384065444.

4445604834084 is a `hidden beast` number, since 4 + 4 + 4 + 560 + 48 + 34 + 0 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4445604834084.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 149402152 + ... + 149431904.

It is an arithmetic number, because the mean of its divisors is an integer number (61858566000).

Almost surely, 24445604834084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4445604834084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938422336000).

4445604834084 is an abundant number, since it is smaller than the sum of its proper divisors (7431239837916).

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

4445604834084 is a wasteful number, since it uses less digits than its factorization.

4445604834084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30135 (or 30127 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 54.

The spelling of 4445604834084 in words is "four trillion, four hundred forty-five billion, six hundred four million, eight hundred thirty-four thousand, eighty-four".