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1531435809431 = 111131936383669
BaseRepresentation
bin10110010010010000101…
…011111111101010010111
312102101220101122201100202
4112102100223333222113
5200042340031400211
63131310520131115
7215433256412513
oct26222053775227
95371811581322
101531435809431
11540529654290
12208976906a9b
13b154c0b7488
145419c669143
1529c8208d53b
hex16490affa97

1531435809431 has 16 divisors (see below), whose sum is σ = 1694174948640. Its totient is φ = 1372743966720.

The previous prime is 1531435809419. The next prime is 1531435809457. The reversal of 1531435809431 is 1349085341351.

It is a de Polignac number, because none of the positive numbers 2k-1531435809431 is a prime.

It is a super-2 number, since 2×15314358094312 (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 (1531435809031) 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, 2951936 + ... + 3431733.

It is an arithmetic number, because the mean of its divisors is an integer number (105885934290).

Almost surely, 21531435809431 is an apocalyptic number.

1531435809431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1531435809431 is a deficient number, since it is larger than the sum of its proper divisors (162739139209).

1531435809431 is a wasteful number, since it uses less digits than its factorization.

1531435809431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383986.

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 1531435809431 in words is "one trillion, five hundred thirty-one billion, four hundred thirty-five million, eight hundred nine thousand, four hundred thirty-one".

Divisors: 1 11 113 193 1243 2123 21809 239899 6383669 70220359 721354597 1232048117 7934900567 13552529287 139221437221 1531435809431