Search a number
-
+
505896914943 = 32723797276079
BaseRepresentation
bin1110101110010011100…
…11100100111111111111
31210100210211022000210200
413113021303210333333
531242034102234233
61024223354334543
751356411553240
oct7271163447777
91710724260720
10505896914943
1118560568aa22
1282067a2a453
1338923a62a64
141a6b247acc7
15d25d6a7313
hex75c9ce4fff

505896914943 has 96 divisors (see below), whose sum is σ = 883831603200. Its totient is φ = 272594507328.

The previous prime is 505896914837. The next prime is 505896914953. The reversal of 505896914943 is 349419698505.

505896914943 is a `hidden beast` number, since 5 + 0 + 5 + 89 + 69 + 1 + 494 + 3 = 666.

It is not a de Polignac number, because 505896914943 - 28 = 505896914687 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505896914953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83217378 + ... + 83223456.

It is an arithmetic number, because the mean of its divisors is an integer number (9206579200).

Almost surely, 2505896914943 is an apocalyptic number.

505896914943 is a deficient number, since it is larger than the sum of its proper divisors (377934688257).

505896914943 is a wasteful number, since it uses less digits than its factorization.

505896914943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 505896914943 in words is "five hundred five billion, eight hundred ninety-six million, nine hundred fourteen thousand, nine hundred forty-three".

Divisors: 1 3 7 9 21 23 63 69 79 161 207 237 483 553 711 727 1449 1659 1817 2181 4977 5089 5451 6079 6543 12719 15267 16353 16721 18237 38157 42553 45801 50163 54711 57433 114471 117047 127659 139817 150489 172299 351141 382977 402031 419451 480241 516897 978719 1053423 1206093 1258353 1320959 1440723 2936157 3361687 3618279 3962877 4322169 4419433 8808471 9246713 10085061 11045543 11888631 13258299 27740139 30255183 30936031 33136629 39774897 77318801 83220417 92808093 99409887 101646959 231956403 278424279 304940877 349135207 695869209 711528713 914822631 1047405621 2134586139 2443946449 3142216863 6403758417 7331839347 8030109761 21995518041 24090329283 56210768327 72270987849 168632304981 505896914943