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1349104051631 = 72353158104307
BaseRepresentation
bin10011101000011100110…
…111100010010110101111
311202222021101021201202002
4103220130313202112233
5134100431114123011
62511434141522515
7166320025141640
oct23503467422657
94688241251662
101349104051631
1148017407aa46
1219957027343b
139a2b235b9ab
1449422cd56c7
152515ecddc3b
hex13a1cde25af

1349104051631 has 16 divisors (see below), whose sum is σ = 1639225465344. Its totient is φ = 1085227956384.

The previous prime is 1349104051627. The next prime is 1349104051651. The reversal of 1349104051631 is 1361504019431.

It is a cyclic number.

It is not a de Polignac number, because 1349104051631 - 22 = 1349104051627 is a prime.

It is a super-2 number, since 2×13491040516312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349104051621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79043621 + ... + 79060686.

It is an arithmetic number, because the mean of its divisors is an integer number (102451591584).

Almost surely, 21349104051631 is an apocalyptic number.

1349104051631 is a deficient number, since it is larger than the sum of its proper divisors (290121413713).

1349104051631 is a wasteful number, since it uses less digits than its factorization.

1349104051631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158104390.

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 1349104051631 in words is "one trillion, three hundred forty-nine billion, one hundred four million, fifty-one thousand, six hundred thirty-one".

Divisors: 1 7 23 53 161 371 1219 8533 158104307 1106730149 3636399061 8379528271 25454793427 58656697897 192729150233 1349104051631