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466868664 = 23333758417
BaseRepresentation
bin11011110100111…
…101100110111000
31012112111101102000
4123310331212320
51424004244124
6114154341000
714366214063
oct3364754670
91175441360
10466868664
1121a598379
1211042a760
1375954a62
144600d8da
152aec16c9
hex1bd3d9b8

466868664 has 64 divisors (see below), whose sum is σ = 1331930400. Its totient is φ = 151414272.

The previous prime is 466868657. The next prime is 466868669.

466868664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 466868664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466868669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21217 + ... + 37200.

Almost surely, 2466868664 is an apocalyptic number.

It is an amenable number.

466868664 is an abundant number, since it is smaller than the sum of its proper divisors (865061736).

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

466868664 is a wasteful number, since it uses less digits than its factorization.

466868664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58469 (or 58459 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 466868664 is about 21607.1438186541. The cubic root of 466868664 is about 775.7674888834.

The spelling of 466868664 in words is "four hundred sixty-six million, eight hundred sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 58417 116834 175251 233668 350502 467336 525753 701004 1051506 1402008 1577259 2103012 2161429 3154518 4206024 4322858 6309036 6484287 8645716 12618072 12968574 17291432 19452861 25937148 38905722 51874296 58358583 77811444 116717166 155622888 233434332 466868664