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2642021361441 = 32711417110112967
BaseRepresentation
bin100110011100100100101…
…111101010011100100001
3100100120112000022020120100
4212130210233222130201
5321241324432031231
65341421114533013
7361610516014650
oct46344457523441
910316460266510
102642021361441
119295251aa170
1236805b737169
131621abc8a497
1491c3595b197
1548ad20141e6
hex26724bea721

2642021361441 has 192 divisors, whose sum is σ = 4991942172672. Its totient is φ = 1306972800000.

The previous prime is 2642021361439. The next prime is 2642021361487. The reversal of 2642021361441 is 1441631202462.

2642021361441 is a `hidden beast` number, since 2 + 6 + 4 + 20 + 2 + 13 + 614 + 4 + 1 = 666.

2642021361441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2642021361441 - 21 = 2642021361439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2642021361396 and 2642021361405.

It is not an unprimeable number, because it can be changed into a prime (2642021362441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203743140 + ... + 203756106.

It is an arithmetic number, because the mean of its divisors is an integer number (25999698816).

Almost surely, 22642021361441 is an apocalyptic number.

2642021361441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2642021361441 is a deficient number, since it is larger than the sum of its proper divisors (2349920811231).

2642021361441 is a wasteful number, since it uses less digits than its factorization.

2642021361441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2642021361441 in words is "two trillion, six hundred forty-two billion, twenty-one million, three hundred sixty-one thousand, four hundred forty-one".