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2077316243001 = 324332557208469
BaseRepresentation
bin11110001110101001101…
…100100101111000111001
321100120220201222221110200
4132032221230211320321
5233013320424234001
64230150024232413
7303036555504156
oct36165154457071
97316821887420
102077316243001
11730a9195557a
1229672100b709
13120b7567ba9c
147278502322d
1539080a74086
hex1e3a9b25e39

2077316243001 has 24 divisors (see below), whose sum is σ = 3008688238920. Its totient is φ = 1381132187136.

The previous prime is 2077316242999. The next prime is 2077316243033. The reversal of 2077316243001 is 1003426137702.

2077316243001 is a `hidden beast` number, since 20 + 7 + 7 + 3 + 1 + 624 + 3 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 384181790976 + 1693134452025 = 619824^2 + 1301205^2 .

It is not a de Polignac number, because 2077316243001 - 21 = 2077316242999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2077316241001) 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 23 ways as a sum of consecutive naturals, for example, 9860395 + ... + 10068863.

It is an arithmetic number, because the mean of its divisors is an integer number (125362009955).

Almost surely, 22077316243001 is an apocalyptic number.

It is an amenable number.

2077316243001 is a deficient number, since it is larger than the sum of its proper divisors (931371995919).

2077316243001 is a wasteful number, since it uses less digits than its factorization.

2077316243001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211465 (or 211462 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 2077316243001 in words is "two trillion, seventy-seven billion, three hundred sixteen million, two hundred forty-three thousand, one".

Divisors: 1 3 9 433 1299 2557 3897 7671 23013 208469 625407 1107181 1876221 3321543 9964629 90267077 270801231 533055233 812403693 1599165699 4797497097 230812915889 692438747667 2077316243001