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195073164957 = 31126117235113
BaseRepresentation
bin1011010110101101000…
…1000100011010011101
3200122111222120112101110
42311223101010122131
511144002212234312
6225340530532233
720044044354306
oct2655321043235
9618458515343
10195073164957
1175803797100
1231981737079
131551a699878
149627a277ad
15511ab7143c
hex2d6b44469d

195073164957 has 48 divisors (see below), whose sum is σ = 290804623424. Its totient is φ = 116197804800.

The previous prime is 195073164941. The next prime is 195073164959. The reversal of 195073164957 is 759461370591.

195073164957 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 195073164957 - 24 = 195073164941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 195073164897 and 195073164906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195073164959) 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 47 ways as a sum of consecutive naturals, for example, 38149833 + ... + 38154945.

Almost surely, 2195073164957 is an apocalyptic number.

It is an amenable number.

195073164957 is a deficient number, since it is larger than the sum of its proper divisors (95731458467).

195073164957 is a wasteful number, since it uses less digits than its factorization.

195073164957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 57.

The spelling of 195073164957 in words is "one hundred ninety-five billion, seventy-three million, one hundred sixty-four thousand, nine hundred fifty-seven".

Divisors: 1 3 11 33 61 121 183 363 671 1723 2013 5113 5169 7381 15339 18953 22143 56243 56859 105103 168729 208483 311893 315309 618673 625449 935679 1156133 1856019 3430823 3468399 8809699 10292469 12717463 26429097 37739053 38152389 96906689 113217159 290720067 537391639 1065973579 1612174917 3197920737 5911308029 17733924087 65024388319 195073164957