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5465460645645 = 357112131937103457
BaseRepresentation
bin100111110001000011011…
…0101110001111100001101
3201100111022100102211202020
41033202012311301330031
51204021230411130040
615342444205320353
71102603131653430
oct117420665617415
921314270384666
105465460645645
111817986060900
127432ab8660b9
13308510574750
1414c75b72d817
1597280e66cd0
hex4f886d71f0d

5465460645645 has 768 divisors, whose sum is σ = 12941759201280. Its totient is φ = 1909656207360.

The previous prime is 5465460645611. The next prime is 5465460645647.

5465460645645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5465460645645 - 26 = 5465460645581 is a prime.

It is a super-3 number, since 3×54654606456453 (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465460645647) 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 767 ways as a sum of consecutive naturals, for example, 11959432257 + ... + 11959432713.

It is an arithmetic number, because the mean of its divisors is an integer number (16851248960).

Almost surely, 25465460645645 is an apocalyptic number.

5465460645645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5465460645645 is an abundant number, since it is smaller than the sum of its proper divisors (7476298555635).

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

5465460645645 is a wasteful number, since it uses less digits than its factorization.

5465460645645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 60.

The spelling of 5465460645645 in words is "five trillion, four hundred sixty-five billion, four hundred sixty million, six hundred forty-five thousand, six hundred forty-five".