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468406297300 = 22529748289309
BaseRepresentation
bin1101101000011110011…
…00001110001011010100
31122210001001002022202111
412310033030032023110
530133244003003200
6555103300320404
745561354556054
oct6641714161324
91583031068674
10468406297300
11170717163aa7
12769443a3104
133522a846336
1418957283564
15c2b71510ba
hex6d0f30e2d4

468406297300 has 36 divisors (see below), whose sum is σ = 1026920466460. Its totient is φ = 185430942720.

The previous prime is 468406297277. The next prime is 468406297321. The reversal of 468406297300 is 3792604864.

It can be written as a sum of positive squares in 6 ways, for example, as 90392827716 + 378013469584 = 300654^2 + 614828^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24134955 + ... + 24154354.

Almost surely, 2468406297300 is an apocalyptic number.

It is an amenable number.

468406297300 is an abundant number, since it is smaller than the sum of its proper divisors (558514169160).

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

468406297300 is a wasteful number, since it uses less digits than its factorization.

468406297300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48289420 (or 48289413 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 468406297300 in words is "four hundred sixty-eight billion, four hundred six million, two hundred ninety-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 48289309 96578618 193157236 241446545 482893090 965786180 1207232725 2414465450 4684062973 4828930900 9368125946 18736251892 23420314865 46840629730 93681259460 117101574325 234203148650 468406297300