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63679968 = 25321120101
BaseRepresentation
bin1111001011101…
…0110111100000
311102211021111100
43302322313200
5112300224333
610152514400
71402161612
oct362726740
9142737440
1063679968
1132a44780
12193aba00
1310267c71
148658db2
1558cd213
hex3cbade0

63679968 has 72 divisors (see below), whose sum is σ = 197562456. Its totient is φ = 19296000.

The previous prime is 63679961. The next prime is 63679981. The reversal of 63679968 is 86997636.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63679961) 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, 6883 + ... + 13218.

It is an arithmetic number, because the mean of its divisors is an integer number (2743923).

Almost surely, 263679968 is an apocalyptic number.

It is an amenable number.

63679968 is an abundant number, since it is smaller than the sum of its proper divisors (133882488).

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

63679968 is a wasteful number, since it uses less digits than its factorization.

63679968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20128 (or 20117 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 63679968 is about 7979.9729322849. The cubic root of 63679968 is about 399.3321522356.

The spelling of 63679968 in words is "sixty-three million, six hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 20101 40202 60303 80404 120606 160808 180909 221111 241212 321616 361818 442222 482424 643232 663333 723636 884444 964848 1326666 1447272 1768888 1929696 1989999 2653332 2894544 3537776 3979998 5306664 5789088 7075552 7959996 10613328 15919992 21226656 31839984 63679968