Search a number
-
+
4529086464 = 2133723761
BaseRepresentation
bin1000011011111010…
…00110000000000000
3102200122021102122010
410031331012000000
533233421231324
62025230012520
7220143412500
oct41575060000
912618242563
104529086464
111a14607771
12a64947140
1357241ba26
1430d71ba00
151b7936829
hex10df46000

4529086464 has 168 divisors, whose sum is σ = 14052288888. Its totient is φ = 1293680640.

The previous prime is 4529086451. The next prime is 4529086489. The reversal of 4529086464 is 4646809254.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1202344 + ... + 1206104.

Almost surely, 24529086464 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 4529086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026144444).

4529086464 is an abundant number, since it is smaller than the sum of its proper divisors (9523202424).

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

4529086464 is an equidigital number, since it uses as much as digits as its factorization.

4529086464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The square root of 4529086464 is about 67298.4878284795. The cubic root of 4529086464 is about 1654.5130763612.

The spelling of 4529086464 in words is "four billion, five hundred twenty-nine million, eighty-six thousand, four hundred sixty-four".