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4445137824456 = 233726459153717
BaseRepresentation
bin100000010101111011011…
…0111000110101011001000
3120201221200022001010121010
41000223312313012223020
51040312120240340311
613242022414243520
7636102442042020
oct100536667065310
916657608033533
104445137824456
11146419946561a
125b95b77b65a0
13263236a72c34
141152081aaa80
157a965468da6
hex40af6dc6ac8

4445137824456 has 32 divisors (see below), whose sum is σ = 12700393784640. Its totient is φ = 1270039378368.

The previous prime is 4445137824443. The next prime is 4445137824509. The reversal of 4445137824456 is 6544287315444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4445137824396 and 4445137824405.

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, 13229576691 + ... + 13229577026.

It is an arithmetic number, because the mean of its divisors is an integer number (396887305770).

Almost surely, 24445137824456 is an apocalyptic number.

It is an amenable number.

4445137824456 is an abundant number, since it is smaller than the sum of its proper divisors (8255255960184).

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

4445137824456 is a wasteful number, since it uses less digits than its factorization.

4445137824456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26459153733 (or 26459153729 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 57.

The spelling of 4445137824456 in words is "four trillion, four hundred forty-five billion, one hundred thirty-seven million, eight hundred twenty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 26459153717 52918307434 79377461151 105836614868 158754922302 185214076019 211673229736 317509844604 370428152038 555642228057 635019689208 740856304076 1111284456114 1481712608152 2222568912228 4445137824456