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66405404256 = 253739475657
BaseRepresentation
bin111101110110000100…
…100000111001100000
320100101220111001111220
4331312010200321200
52041444240414011
650301202135040
74540405423452
oct756604407140
9210356431456
1066405404256
1126187135094
1210a53051480
13635380a319
1432dd4722d2
151ad9c6a506
hexf76120e60

66405404256 has 48 divisors (see below), whose sum is σ = 176702070384. Its totient is φ = 21831911424.

The previous prime is 66405404249. The next prime is 66405404269. The reversal of 66405404256 is 65240450466.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4730821 + ... + 4744836.

It is an arithmetic number, because the mean of its divisors is an integer number (3681293133).

Almost surely, 266405404256 is an apocalyptic number.

It is an amenable number.

66405404256 is an abundant number, since it is smaller than the sum of its proper divisors (110296666128).

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

66405404256 is a wasteful number, since it uses less digits than its factorization.

66405404256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9475743 (or 9475735 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 66405404256 in words is "sixty-six billion, four hundred five million, four hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 9475657 18951314 28426971 37902628 56853942 75805256 113707884 151610512 227415768 303221024 454831536 691722961 909663072 1383445922 2075168883 2766891844 4150337766 5533783688 8300675532 11067567376 16601351064 22135134752 33202702128 66405404256