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3799817064 = 233231254917
BaseRepresentation
bin1110001001111100…
…1001101101101000
3100210211000201002100
43202133021231220
530240223121224
61425015133400
7163106624601
oct34237115550
910724021070
103799817064
11167a99688a
128a0674260
13487302084
14280924da8
151738d1ac9
hexe27c9b68

3799817064 has 72 divisors (see below), whose sum is σ = 10634046930. Its totient is φ = 1225725120.

The previous prime is 3799817057. The next prime is 3799817069. The reversal of 3799817064 is 4607189973.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3432788100 + 367028964 = 58590^2 + 19158^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3799817064.

It is not an unprimeable number, because it can be changed into a prime (3799817069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41734 + ... + 96650.

Almost surely, 23799817064 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 3799817064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317023465).

3799817064 is an abundant number, since it is smaller than the sum of its proper divisors (6834229866).

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

3799817064 is a wasteful number, since it uses less digits than its factorization.

3799817064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54991 (or 54953 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3799817064 is about 61642.6562049365. The cubic root of 3799817064 is about 1560.4657090836.

The spelling of 3799817064 in words is "three billion, seven hundred ninety-nine million, eight hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 7688 8649 11532 17298 23064 34596 54917 69192 109834 164751 219668 329502 439336 494253 659004 988506 1318008 1702427 1977012 3404854 3954024 5107281 6809708 10214562 13619416 15321843 20429124 30643686 40858248 52775237 61287372 105550474 122574744 158325711 211100948 316651422 422201896 474977133 633302844 949954266 1266605688 1899908532 3799817064