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272123321272 = 23113092310469
BaseRepresentation
bin1111110101101111010…
…0000101101110111000
3222000101202001000120121
43331123310011232320
513424302032240042
6325002311103024
725442320031455
oct3753364055670
9860352030517
10272123321272
11a545257aa40
12448a5671a74
131c87962b73a
14d256ad482c
15712a1a7367
hex3f5bd05bb8

272123321272 has 16 divisors (see below), whose sum is σ = 556615884600. Its totient is φ = 123692418720.

The previous prime is 272123321201. The next prime is 272123321293.

272123321272 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2721233212722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1546155147 + ... + 1546155322.

Almost surely, 2272123321272 is an apocalyptic number.

272123321272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

272123321272 is an abundant number, since it is smaller than the sum of its proper divisors (284492563328).

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

272123321272 is a wasteful number, since it uses less digits than its factorization.

272123321272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092310486 (or 3092310482 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

It can be divided in two parts, 272123 and 321272, that added together give a palindrome (593395).

The spelling of 272123321272 in words is "two hundred seventy-two billion, one hundred twenty-three million, three hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 3092310469 6184620938 12369241876 24738483752 34015415159 68030830318 136061660636 272123321272