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67363641 = 3225212969
BaseRepresentation
bin1000000001111…
…10001100111001
311200202102112200
410000332030321
5114221114031
610403500413
71445403312
oct400761471
9150672480
1067363641
1135030334
121a687709
1310c57857
148d37609
155da98e6
hex403e339

67363641 has 12 divisors (see below), whose sum is σ = 97374420. Its totient is φ = 44876160.

The previous prime is 67363613. The next prime is 67363657. The reversal of 67363641 is 14636376.

It is a happy number.

67363641 is a `hidden beast` number, since 6 + 7 + 3 + 6 + 3 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189225 + 67174416 = 435^2 + 8196^2 .

It is not a de Polignac number, because 67363641 - 215 = 67330873 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67363596 and 67363605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67363601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21205 + ... + 24173.

It is an arithmetic number, because the mean of its divisors is an integer number (8114535).

Almost surely, 267363641 is an apocalyptic number.

It is an amenable number.

67363641 is a deficient number, since it is larger than the sum of its proper divisors (30010779).

67363641 is a wasteful number, since it uses less digits than its factorization.

67363641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5493 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 67363641 is about 8207.5356228286. The cubic root of 67363641 is about 406.8882833835. Note that the first 3 decimals are identical.

The spelling of 67363641 in words is "sixty-seven million, three hundred sixty-three thousand, six hundred forty-one".

Divisors: 1 3 9 2521 2969 7563 8907 22689 26721 7484849 22454547 67363641