Search a number
-
+
669890999388672 = 2935177118232447
BaseRepresentation
bin1001100001010000110010011…
…1000011101000101000000000
310020211212221202112122011200000
42120110030213003220220000
51200300443231320414142
610332423402054400000
7261050012311066305
oct23024144703505000
93224787675564600
10669890999388672
111844a21a5150506
1263171444360000
13229a35b109b579
14bb5cc7c53d0ac
15526a6076cb14c
hex26143270e8a00

669890999388672 has 960 divisors, whose sum is σ = 2154856064385024. Its totient is φ = 207003566407680.

The previous prime is 669890999388613. The next prime is 669890999388673. The reversal of 669890999388672 is 276883999098966.

669890999388672 is a `hidden beast` number, since 6 + 69 + 8 + 9 + 0 + 9 + 99 + 388 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (669890999388673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273760112953 + ... + 273760115399.

Almost surely, 2669890999388672 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 669890999388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077428032192512).

669890999388672 is an abundant number, since it is smaller than the sum of its proper divisors (1484965064996352).

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

669890999388672 is a wasteful number, since it uses less digits than its factorization.

669890999388672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 274274574336, while the sum is 99.

The spelling of 669890999388672 in words is "six hundred sixty-nine trillion, eight hundred ninety billion, nine hundred ninety-nine million, three hundred eighty-eight thousand, six hundred seventy-two".