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2661314542425 = 335271197152733
BaseRepresentation
bin100110101110100010101…
…101010011101101011001
3100102102022120211101102000
4212232202231103231121
5322100333010324200
65354331354431213
7363162566240010
oct46564255235531
910372276741360
102661314542425
11936725751640
1236b944a32509
13163c650a8cc6
1492b46011a77
1549360bb2300
hex26ba2b53b59

2661314542425 has 192 divisors, whose sum is σ = 6101686609920. Its totient is φ = 1104840864000.

The previous prime is 2661314542409. The next prime is 2661314542427. The reversal of 2661314542425 is 5242454131662.

It is a happy number.

2661314542425 is a `hidden beast` number, since 2 + 6 + 61 + 3 + 1 + 4 + 542 + 42 + 5 = 666.

It is not a de Polignac number, because 2661314542425 - 24 = 2661314542409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2661314542427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50441359 + ... + 50494091.

It is an arithmetic number, because the mean of its divisors is an integer number (31779617760).

Almost surely, 22661314542425 is an apocalyptic number.

2661314542425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2661314542425 is an abundant number, since it is smaller than the sum of its proper divisors (3440372067495).

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

2661314542425 is a wasteful number, since it uses less digits than its factorization.

2661314542425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53741 (or 53730 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 2661314542425 in words is "two trillion, six hundred sixty-one billion, three hundred fourteen million, five hundred forty-two thousand, four hundred twenty-five".