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1964085071 = 134314923581
BaseRepresentation
bin111010100010001…
…1000111101001111
312001212202212012112
41311010120331033
513010301210241
6522521054235
766446306354
oct16504307517
95055685175
101964085071
11918747203
1246992737b
13253bb1020
14148bca62b
15b766b1eb
hex75118f4f

1964085071 has 16 divisors (see below), whose sum is σ = 2178976800. Its totient is φ = 1758879360.

The previous prime is 1964085047. The next prime is 1964085103. The reversal of 1964085071 is 1705804691.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1964085071 is a prime.

It is a super-2 number, since 2×19640850712 = 7715260332250150082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964085041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71501 + ... + 95081.

It is an arithmetic number, because the mean of its divisors is an integer number (136186050).

Almost surely, 21964085071 is an apocalyptic number.

1964085071 is a deficient number, since it is larger than the sum of its proper divisors (214891729).

1964085071 is a wasteful number, since it uses less digits than its factorization.

1964085071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23786.

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 1964085071 is about 44317.9994020488. Note that the first 3 decimals coincide. The cubic root of 1964085071 is about 1252.3337885132. Note that the first 3 decimals are identical.

The spelling of 1964085071 in words is "one billion, nine hundred sixty-four million, eighty-five thousand, seventy-one".

Divisors: 1 13 43 149 559 1937 6407 23581 83291 306553 1013983 3513569 13181779 45676397 151083467 1964085071