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421267630127 = 17194165948271
BaseRepresentation
bin1100010000101011000…
…00011110100000101111
31111021100212100220212112
412020111200132200233
523400224003131002
6521305551154235
742302255526401
oct6102540364057
91437325326775
10421267630127
1115272765a723
126978981597b
1330957829376
1416564980b71
15ae58aad852
hex621581e82f

421267630127 has 32 divisors (see below), whose sum is σ = 481715942400. Its totient is φ = 365894323200.

The previous prime is 421267630117. The next prime is 421267630129. The reversal of 421267630127 is 721036762124.

It is a cyclic number.

It is not a de Polignac number, because 421267630127 - 24 = 421267630111 is a prime.

It is a super-2 number, since 2×4212676301272 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421267630129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8703002 + ... + 8751272.

It is an arithmetic number, because the mean of its divisors is an integer number (15053623200).

Almost surely, 2421267630127 is an apocalyptic number.

421267630127 is a deficient number, since it is larger than the sum of its proper divisors (60448312273).

421267630127 is a wasteful number, since it uses less digits than its factorization.

421267630127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49007.

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 421267630127 in words is "four hundred twenty-one billion, two hundred sixty-seven million, six hundred thirty thousand, one hundred twenty-seven".

Divisors: 1 17 19 41 323 659 697 779 11203 12521 13243 27019 48271 212857 459323 513361 820607 917149 1979111 8727137 15591533 31810589 33644887 37603109 540780013 604401191 639252853 1304234149 10274820247 22171980533 24780448831 421267630127