Search a number
-
+
1964307430995 = 357213712895479
BaseRepresentation
bin11100100101011001110…
…110001011111001010011
320221210012221222110221220
4130211121312023321103
5224140400200242440
64102220153220123
7261626240450100
oct34453166137123
96853187873856
101964307430995
11698070376478
12278842701643
13113305a03760
146b1043c1aa7
15361697468d0
hex1c959d8be53

1964307430995 has 96 divisors (see below), whose sum is σ = 3992704773120. Its totient is φ = 817219710720.

The previous prime is 1964307430993. The next prime is 1964307431003. The reversal of 1964307430995 is 5990347034691.

It is a happy number.

It is not a de Polignac number, because 1964307430995 - 21 = 1964307430993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1964307430991) 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 95 ways as a sum of consecutive naturals, for example, 769335 + ... + 2126144.

It is an arithmetic number, because the mean of its divisors is an integer number (41590674720).

Almost surely, 21964307430995 is an apocalyptic number.

1964307430995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1964307430995 is an abundant number, since it is smaller than the sum of its proper divisors (2028397342125).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1964307430995 is a wasteful number, since it uses less digits than its factorization.

1964307430995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895585 (or 2895578 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 60.

The spelling of 1964307430995 in words is "one trillion, nine hundred sixty-four billion, three hundred seven million, four hundred thirty thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 71 91 105 147 195 213 245 273 355 455 497 637 735 923 1065 1365 1491 1911 2485 2769 3185 3479 4615 6461 7455 9555 10437 13845 17395 19383 32305 45227 52185 96915 135681 226135 678405 2895479 8686437 14477395 20268353 37641227 43432185 60805059 101341765 112923681 141878471 188206135 205579009 263488589 304025295 425635413 564618405 616737027 709392355 790465767 1027895045 1317442945 1439053063 1844420123 2128177065 2672527117 3083685135 3952328835 4317159189 5533260369 7195265315 8017581351 9222100615 10073371441 13362635585 18707689819 21585795945 27666301845 30220114323 40087906755 50366857205 56123069457 93538449095 130953828733 151100571615 280615347285 392861486199 654769143665 1964307430995