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542564465245 = 5112896800769
BaseRepresentation
bin1111110010100110101…
…11001011101001011101
31220212110020202120201021
413321103113023221131
532342133000341440
61053130051244141
754125152601245
oct7712327135135
91825406676637
10542564465245
1119a111550200
128919b8a9651
133c2185b0c9a
141c390222b25
15e1a782b84a
hex7e535cba5d

542564465245 has 12 divisors (see below), whose sum is σ = 715647014460. Its totient is φ = 394592337920.

The previous prime is 542564465227. The next prime is 542564465249.

542564465245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 95182739289 + 447381725956 = 308517^2 + 668866^2 .

It is not a de Polignac number, because 542564465245 - 223 = 542556076637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542564465192 and 542564465201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542564465249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448399780 + ... + 448400989.

It is an arithmetic number, because the mean of its divisors is an integer number (59637251205).

Almost surely, 2542564465245 is an apocalyptic number.

542564465245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542564465245 is a deficient number, since it is larger than the sum of its proper divisors (173082549215).

542564465245 is a wasteful number, since it uses less digits than its factorization.

542564465245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896800796 (or 896800785 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 52.

The spelling of 542564465245 in words is "five hundred forty-two billion, five hundred sixty-four million, four hundred sixty-five thousand, two hundred forty-five".

Divisors: 1 5 11 55 121 605 896800769 4484003845 9864808459 49324042295 108512893049 542564465245