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2444626116541 = 72373346938557
BaseRepresentation
bin100011100100101111000…
…100100011111110111101
322122201000012022211100001
4203210233010203332331
5310023043241212131
65111013513434301
7341422054065100
oct43445704437675
98581005284301
102444626116541
1186283a791034
1233595040b991
131496b14b771b
148646b798737
15438cc5ae261
hex2392f123fbd

2444626116541 has 24 divisors (see below), whose sum is σ = 2852268670680. Its totient is φ = 2089119537792.

The previous prime is 2444626116509. The next prime is 2444626116547. The reversal of 2444626116541 is 1456116264442.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 687960441 + 2443938156100 = 26229^2 + 1563310^2 .

It is not a de Polignac number, because 2444626116541 - 25 = 2444626116509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2444626116491 and 2444626116500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444626116547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63383635 + ... + 63422191.

It is an arithmetic number, because the mean of its divisors is an integer number (118844527945).

Almost surely, 22444626116541 is an apocalyptic number.

It is an amenable number.

2444626116541 is a deficient number, since it is larger than the sum of its proper divisors (407642554139).

2444626116541 is a wasteful number, since it uses less digits than its factorization.

2444626116541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42413 (or 42406 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The spelling of 2444626116541 in words is "two trillion, four hundred forty-four billion, six hundred twenty-six million, one hundred sixteen thousand, five hundred forty-one".

Divisors: 1 7 49 373 2611 3469 18277 24283 38557 169981 269899 1293937 1889293 9057559 14381761 63402913 100672327 133754233 704706289 936279631 6553957417 49890328909 349232302363 2444626116541