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66722944 = 27895857
BaseRepresentation
bin1111111010000…
…1110010000000
311122112212200011
43332201302000
5114040113234
610342034304
71440064351
oct376416200
9148485604
1066722944
1134732a32
121a418994
1310a92042
148c0bd28
155cceb64
hex3fa1c80

66722944 has 32 divisors (see below), whose sum is σ = 134441100. Its totient is φ = 32980992.

The previous prime is 66722941. The next prime is 66722947. The reversal of 66722944 is 44922766.

It is an interprime number because it is at equal distance from previous prime (66722941) and next prime (66722947).

It can be written as a sum of positive squares in 2 ways, for example, as 65934400 + 788544 = 8120^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 66722897 and 66722906.

It is not an unprimeable number, because it can be changed into a prime (66722941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8464 + ... + 14320.

Almost surely, 266722944 is an apocalyptic number.

66722944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66722944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67220550).

66722944 is an abundant number, since it is smaller than the sum of its proper divisors (67718156).

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

66722944 is an equidigital number, since it uses as much as digits as its factorization.

66722944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5948 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 66722944 is about 8168.4113510523. The cubic root of 66722944 is about 405.5941976510.

The spelling of 66722944 in words is "sixty-six million, seven hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 5857 11392 11714 23428 46856 93712 187424 374848 521273 749696 1042546 2085092 4170184 8340368 16680736 33361472 66722944