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191430769431 = 3117035182457
BaseRepresentation
bin1011001001001000101…
…0011011101100010111
3200022010010202200001110
42302102022123230113
511114022234110211
6223535253430103
716554555456336
oct2622212335427
9608103680043
10191430769431
1174204751470
123112593b333
1315089b94745
14939dd9dd1d
154ea5ed7ea6
hex2c9229bb17

191430769431 has 16 divisors (see below), whose sum is σ = 278452090368. Its totient is φ = 116015592000.

The previous prime is 191430769427. The next prime is 191430769451. The reversal of 191430769431 is 134967034191.

191430769431 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 191430769431 - 22 = 191430769427 is a prime.

It is a super-2 number, since 2×1914307694312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191430769451) 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 15 ways as a sum of consecutive naturals, for example, 2280355 + ... + 2362811.

It is an arithmetic number, because the mean of its divisors is an integer number (17403255648).

Almost surely, 2191430769431 is an apocalyptic number.

191430769431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

191430769431 is a deficient number, since it is larger than the sum of its proper divisors (87021320937).

191430769431 is a wasteful number, since it uses less digits than its factorization.

191430769431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152822.

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 191430769431 in words is "one hundred ninety-one billion, four hundred thirty million, seven hundred sixty-nine thousand, four hundred thirty-one".

Divisors: 1 3 11 33 70351 82457 211053 247371 773861 907027 2321583 2721081 5800932407 17402797221 63810256477 191430769431