Search a number
-
+
64276374720 = 2635594312633
BaseRepresentation
bin111011110111001010…
…111010010011000000
320010220112100011001010
4323313022322103000
52023114222442340
645310025440520
74433554112325
oct736712722300
9203815304033
1064276374720
1125294379748
121055a040140
1360a46c712c
14317a7cab4c
151a12dbbb80
hexef72ba4c0

64276374720 has 224 divisors, whose sum is σ = 208096957440. Its totient is φ = 16804372480.

The previous prime is 64276374703. The next prime is 64276374751. The reversal of 64276374720 is 2747367246.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64276374720.

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 31 ways as a sum of consecutive naturals, for example, 24410524 + ... + 24413156.

Almost surely, 264276374720 is an apocalyptic number.

64276374720 is a gapful number since it is divisible by the number (60) 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 64276374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104048478720).

64276374720 is an abundant number, since it is smaller than the sum of its proper divisors (143820582720).

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

64276374720 is a wasteful number, since it uses less digits than its factorization.

64276374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 64276374720 in words is "sixty-four billion, two hundred seventy-six million, three hundred seventy-four thousand, seven hundred twenty".