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2968438473 = 32721113103457
BaseRepresentation
bin1011000011101110…
…1100011011001001
321122212122022001200
42300323230123021
522034410012343
61210315534413
7133363211400
oct26073543311
97585568050
102968438473
111293673840
126aa15a409
13383cb3890
1420234c637
1512590c4d3
hexb0eec6c9

2968438473 has 144 divisors (see below), whose sum is σ = 5929612416. Its totient is φ = 1406522880.

The previous prime is 2968438453. The next prime is 2968438507. The reversal of 2968438473 is 3748348692.

2968438473 is a `hidden beast` number, since 2 + 96 + 84 + 3 + 8 + 473 = 666.

It is not a de Polignac number, because 2968438473 - 25 = 2968438441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2968438453) 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 143 ways as a sum of consecutive naturals, for example, 6495261 + ... + 6495717.

It is an arithmetic number, because the mean of its divisors is an integer number (41177864).

Almost surely, 22968438473 is an apocalyptic number.

It is an amenable number.

2968438473 is a deficient number, since it is larger than the sum of its proper divisors (2961173943).

2968438473 is a wasteful number, since it uses less digits than its factorization.

2968438473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2968438473 is about 54483.3779514450. The cubic root of 2968438473 is about 1437.1739960714.

The spelling of 2968438473 in words is "two billion, nine hundred sixty-eight million, four hundred thirty-eight thousand, four hundred seventy-three".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 103 117 143 147 231 273 309 429 441 457 539 637 693 721 819 927 1001 1133 1287 1339 1371 1617 1911 2163 3003 3199 3399 4017 4113 4851 5027 5047 5733 5941 6489 7007 7931 9009 9373 9597 10197 12051 14729 15081 15141 17823 21021 22393 23793 28119 28791 35189 41587 44187 45243 45423 47071 53469 55517 63063 65351 65611 67179 71379 84357 103103 105567 124761 132561 141213 166551 196053 196833 201537 246323 291109 309309 316701 329497 374283 423639 457457 499653 517781 588159 590499 611923 721721 738969 873327 927927 988491 1372371 1553343 1835769 2165163 2216907 2306479 2619981 2965473 3202199 3624467 4117113 4283461 4660029 5507307 6495489 6731153 6919437 9606597 10873401 12850383 20193459 20758311 25371269 28819791 29984227 32620203 38551149 47118071 60580377 76113807 89952681 141354213 228341421 269858043 329826497 424062639 989479491 2968438473