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131418621467 = 731237309737
BaseRepresentation
bin111101001100100101…
…0010000011000011011
3110120012210022200102122
41322121022100120123
54123121131341332
6140212313051455
712331450565000
oct1723112203033
9416183280378
10131418621467
1150809427471
12215779b6b8b
13c514a73113
146509a678a7
153642685c12
hex1e9929061b

131418621467 has 16 divisors (see below), whose sum is σ = 153382257600. Its totient is φ = 112553106624.

The previous prime is 131418621437. The next prime is 131418621527. The reversal of 131418621467 is 764126814131.

It is a de Polignac number, because none of the positive numbers 2k-131418621467 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131418621437) 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 15 ways as a sum of consecutive naturals, for example, 269423 + ... + 579159.

It is an arithmetic number, because the mean of its divisors is an integer number (9586391100).

Almost surely, 2131418621467 is an apocalyptic number.

131418621467 is a deficient number, since it is larger than the sum of its proper divisors (21963636133).

131418621467 is an equidigital number, since it uses as much as digits as its factorization.

131418621467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310995 (or 310981 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The spelling of 131418621467 in words is "one hundred thirty-one billion, four hundred eighteen million, six hundred twenty-one thousand, four hundred sixty-seven".

Divisors: 1 7 49 343 1237 8659 60613 309737 424291 2168159 15177113 106239791 383144669 2682012683 18774088781 131418621467