Search a number
-
+
66897569088 = 2633727379137
BaseRepresentation
bin111110010011011001…
…111110010101000000
320101200012120121202000
4332103121332111000
52044001234202323
650422103024000
74555532645400
oct762331762500
9211605517660
1066897569088
1126409a2a889
1210b6ba3b000
13640177b00c
143348988800
151b18086e43
hexf9367e540

66897569088 has 672 divisors, whose sum is σ = 236558937600. Its totient is φ = 18477268992.

The previous prime is 66897569041. The next prime is 66897569143. The reversal of 66897569088 is 88096579866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 488303356 + ... + 488303492.

Almost surely, 266897569088 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 66897569088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118279468800).

66897569088 is an abundant number, since it is smaller than the sum of its proper divisors (169661368512).

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

66897569088 is a wasteful number, since it uses less digits than its factorization.

66897569088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 66897569088 in words is "sixty-six billion, eight hundred ninety-seven million, five hundred sixty-nine thousand, eighty-eight".