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542262262245 = 35113286437953
BaseRepresentation
bin1111110010000010101…
…10010111100111100101
31220211200012010002010120
413321001112113213211
532341023114342440
61053040054112153
754114523115034
oct7710126274745
91824605102116
10542262262245
11199a76a01660
128911664b659
133c19aac1542
141c36203871b
15e18b034dd0
hex7e415979e5

542262262245 has 16 divisors (see below), whose sum is σ = 946494130752. Its totient is φ = 262915036160.

The previous prime is 542262262207. The next prime is 542262262247.

542262262245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542262262245 - 29 = 542262261733 is a prime.

It is a super-2 number, since 2×5422622622452 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542262262197 and 542262262206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542262262247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1643218812 + ... + 1643219141.

It is an arithmetic number, because the mean of its divisors is an integer number (59155883172).

Almost surely, 2542262262245 is an apocalyptic number.

542262262245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542262262245 is a deficient number, since it is larger than the sum of its proper divisors (404231868507).

542262262245 is a wasteful number, since it uses less digits than its factorization.

542262262245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286437972.

The product of its digits is 921600, while the sum is 42.

The spelling of 542262262245 in words is "five hundred forty-two billion, two hundred sixty-two million, two hundred sixty-two thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 3286437953 9859313859 16432189765 36150817483 49296569295 108452452449 180754087415 542262262245