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66799968 = 2531275479
BaseRepresentation
bin1111111011010…
…0100101100000
311122200210022220
43332310211200
5114100044333
610343431040
71440535044
oct376644540
9148623286
1066799968
1134785894
121a455480
1310abb111
148c2c024
155ce78b3
hex3fb4960

66799968 has 48 divisors (see below), whose sum is σ = 176762880. Its totient is φ = 22087296.

The previous prime is 66799949. The next prime is 66799969. The reversal of 66799968 is 86999766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66799969) 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, 9453 + ... + 14931.

It is an arithmetic number, because the mean of its divisors is an integer number (3682560).

Almost surely, 266799968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66799968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88381440).

66799968 is an abundant number, since it is smaller than the sum of its proper divisors (109962912).

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

66799968 is a wasteful number, since it uses less digits than its factorization.

66799968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5611 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 60.

The square root of 66799968 is about 8173.1247390456. The cubic root of 66799968 is about 405.7502083230.

The spelling of 66799968 in words is "sixty-six million, seven hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 5479 6096 10958 12192 16437 21916 32874 43832 65748 87664 131496 175328 262992 525984 695833 1391666 2087499 2783332 4174998 5566664 8349996 11133328 16699992 22266656 33399984 66799968