Search a number
-
+
64224114264 = 23323724108151
BaseRepresentation
bin111011110100000011…
…100011011001011000
320010202220000001011200
4323310003203121120
52023012333124024
645300521354200
74432350651432
oct736403433130
9203686001150
1064224114264
1125267924692
1210544638960
136096929b9b
1431738a5652
151a0d4e72c9
hexef40e3658

64224114264 has 48 divisors (see below), whose sum is σ = 178641406320. Its totient is φ = 20829441600.

The previous prime is 64224114263. The next prime is 64224114281. The reversal of 64224114264 is 46241142246.

64224114264 is a `hidden beast` number, since 6 + 4 + 224 + 1 + 1 + 426 + 4 = 666.

64224114264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64224114263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12051412 + ... + 12056739.

It is an arithmetic number, because the mean of its divisors is an integer number (3721695965).

Almost surely, 264224114264 is an apocalyptic number.

It is an amenable number.

64224114264 is an abundant number, since it is smaller than the sum of its proper divisors (114417292056).

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

64224114264 is a wasteful number, since it uses less digits than its factorization.

64224114264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24108200 (or 24108193 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 64224114264 in words is "sixty-four billion, two hundred twenty-four million, one hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 24108151 48216302 72324453 96432604 144648906 192865208 216973359 289297812 433946718 578595624 867893436 892001587 1735786872 1784003174 2676004761 3568006348 5352009522 7136012696 8028014283 10704019044 16056028566 21408038088 32112057132 64224114264