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66449966000 = 24531183151241
BaseRepresentation
bin111101111000101110…
…100000001110110000
320100112000100000201212
4331320232200032300
52042042142403000
650305433215252
74541456251205
oct757056401660
9210460300655
1066449966000
11261aa300a80
1210a65b61528
13635cb10312
143305351cac
151addb1dc35
hexf78ba03b0

66449966000 has 320 divisors, whose sum is σ = 179310523392. Its totient is φ = 23616000000.

The previous prime is 66449965969. The next prime is 66449966017. The reversal of 66449966000 is 66994466.

It is a happy number.

66449966000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) 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 (50).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 66449966000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275725880 + ... + 275726120.

Almost surely, 266449966000 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 66449966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89655261696).

66449966000 is an abundant number, since it is smaller than the sum of its proper divisors (112860557392).

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

66449966000 is a wasteful number, since it uses less digits than its factorization.

66449966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 66449966000 in words is "sixty-six billion, four hundred forty-nine million, nine hundred sixty-six thousand".