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42267376351767 = 372287533172461
BaseRepresentation
bin10011001110001001000111…
…11100111111101000010111
312112122201111010112211212210
421213010203330333220113
521020002041321224032
6225521210432244503
711621500663042200
oct1147044374775027
9175581433484783
1042267376351767
11125165480513a6
1248a784a9a0733
131a77a47b62868
14a61a754265a7
154d471127c2cc
hex267123f3fa17

42267376351767 has 12 divisors (see below), whose sum is σ = 65557563321336. Its totient is φ = 24152786486640.

The previous prime is 42267376351747. The next prime is 42267376351771. The reversal of 42267376351767 is 76715367376224.

It is not a de Polignac number, because 42267376351767 - 222 = 42267372157463 is a prime.

It is a super-2 number, since 2×422673763517672 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42267376351698 and 42267376351707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42267376351747) 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, 143766586084 + ... + 143766586377.

It is an arithmetic number, because the mean of its divisors is an integer number (5463130276778).

Almost surely, 242267376351767 is an apocalyptic number.

42267376351767 is a deficient number, since it is larger than the sum of its proper divisors (23290186969569).

42267376351767 is a wasteful number, since it uses less digits than its factorization.

42267376351767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287533172478 (or 287533172471 counting only the distinct ones).

The product of its digits is 373403520, while the sum is 66.

The spelling of 42267376351767 in words is "forty-two trillion, two hundred sixty-seven billion, three hundred seventy-six million, three hundred fifty-one thousand, seven hundred sixty-seven".

Divisors: 1 3 7 21 49 147 287533172461 862599517383 2012732207227 6038196621681 14089125450589 42267376351767