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213826247991 = 3234968075851
BaseRepresentation
bin1100011100100100001…
…0011001110100110111
3202102220220210212010100
43013021002121310313
512000404004413431
6242121434325143
721306546055626
oct3071102316467
9672826725110
10213826247991
1182757384a34
1235535b897b3
1317218933cc5
14a4c64896bd
1558671d54e6
hex31c9099d37

213826247991 has 12 divisors (see below), whose sum is σ = 309745126600. Its totient is φ = 142142374800.

The previous prime is 213826247989. The next prime is 213826248001. The reversal of 213826247991 is 199742628312.

213826247991 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 2 + 624 + 7 + 9 + 9 + 1 = 666.

213826247991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213826247991 - 21 = 213826247989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213826247941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34034785 + ... + 34041066.

Almost surely, 2213826247991 is an apocalyptic number.

213826247991 is a deficient number, since it is larger than the sum of its proper divisors (95918878609).

213826247991 is a wasteful number, since it uses less digits than its factorization.

213826247991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68076206 (or 68076203 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 213826247991 in words is "two hundred thirteen billion, eight hundred twenty-six million, two hundred forty-seven thousand, nine hundred ninety-one".

Divisors: 1 3 9 349 1047 3141 68075851 204227553 612682659 23758471999 71275415997 213826247991