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466973969 = 721121741113
BaseRepresentation
bin11011110101010…
…111010100010001
31012112200201212012
4123311113110101
51424021131334
6114200512305
714400133100
oct3365272421
91175621765
10466973969
1121a65a500
1211047b695
1375990977
144603a037
152aee29ce
hex1bd57511

466973969 has 72 divisors (see below), whose sum is σ = 653360904. Its totient is φ = 331161600.

The previous prime is 466973959. The next prime is 466973989. The reversal of 466973969 is 969379664.

It can be written as a sum of positive squares in 4 ways, for example, as 2140369 + 464833600 = 1463^2 + 21560^2 .

It is not a de Polignac number, because 466973969 - 28 = 466973713 is a prime.

It is a super-2 number, since 2×4669739692 = 436129375447225922, which contains 22 as substring.

Its product of digits (13226976) is a multiple of the sum of its prime divisors (189).

It is not an unprimeable number, because it can be changed into a prime (466973939) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4132457 + ... + 4132569.

It is an arithmetic number, because the mean of its divisors is an integer number (9074457).

Almost surely, 2466973969 is an apocalyptic number.

466973969 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

466973969 is a deficient number, since it is larger than the sum of its proper divisors (186386935).

466973969 is a wasteful number, since it uses less digits than its factorization.

466973969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 59.

The square root of 466973969 is about 21609.5804910692. The cubic root of 466973969 is about 775.8258108202.

The spelling of 466973969 in words is "four hundred sixty-six million, nine hundred seventy-three thousand, nine hundred sixty-nine".

Divisors: 1 7 11 17 41 49 77 113 119 121 187 287 451 539 697 791 833 847 1243 1309 1921 2009 2057 3157 4633 4879 4961 5537 5929 7667 8701 9163 13447 13673 14399 21131 22099 32431 34153 34727 50963 53669 60907 78761 84337 94129 95711 100793 147917 227017 232441 243089 356741 375683 551327 560593 590359 669977 866371 1035419 1627087 2497187 3859289 3924151 4132513 6064597 9530081 11389609 27469057 42452179 66710567 466973969