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67673664 = 263339163
BaseRepresentation
bin1000000100010…
…01111001000000
311201100011211000
410002021321000
5114311024124
610414252000
71451134212
oct402117100
9151304730
1067673664
1135222253
121a7b7000
13110359b6
148db85b2
155e1b6c9
hex4089e40

67673664 has 56 divisors (see below), whose sum is σ = 198953120. Its totient is φ = 22557312.

The previous prime is 67673663. The next prime is 67673677. The reversal of 67673664 is 46637676.

67673664 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (67673663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17854 + ... + 21309.

Almost surely, 267673664 is an apocalyptic number.

67673664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67673664 is an abundant number, since it is smaller than the sum of its proper divisors (131279456).

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

67673664 is a wasteful number, since it uses less digits than its factorization.

67673664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39184 (or 39168 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 67673664 is about 8226.4004278907. The cubic root of 67673664 is about 407.5115261397.

The spelling of 67673664 in words is "sixty-seven million, six hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 39163 78326 117489 156652 234978 313304 352467 469956 626608 704934 939912 1057401 1253216 1409868 1879824 2114802 2506432 2819736 3759648 4229604 5639472 7519296 8459208 11278944 16918416 22557888 33836832 67673664