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4819332864 = 2834123733
BaseRepresentation
bin1000111110100000…
…10010111100000000
3110102212102110211210
410133100102330000
534332222122424
62114115010120
7230266440063
oct43720227400
913385373753
104819332864
11205342a125
12b25b99940
135ba5b3168
1433a0b28da
151d316a729
hex11f412f00

4819332864 has 108 divisors (see below), whose sum is σ = 13150446008. Its totient is φ = 1566842880.

The previous prime is 4819332857. The next prime is 4819332871. The reversal of 4819332864 is 4682339184.

It is an interprime number because it is at equal distance from previous prime (4819332857) and next prime (4819332871).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1289142 + ... + 1292874.

Almost surely, 24819332864 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 4819332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575223004).

4819332864 is an abundant number, since it is smaller than the sum of its proper divisors (8331113144).

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

4819332864 is an equidigital number, since it uses as much as digits as its factorization.

4819332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3779 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 4819332864 is about 69421.4150244721. The cubic root of 4819332864 is about 1689.1270147873.

The spelling of 4819332864 in words is "four billion, eight hundred nineteen million, three hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1681 1968 2624 3362 3733 3936 5043 5248 6724 7466 7872 10086 10496 11199 13448 14932 15744 20172 22398 26896 29864 31488 40344 44796 53792 59728 80688 89592 107584 119456 153053 161376 179184 215168 238912 306106 322752 358368 430336 459159 477824 612212 645504 716736 918318 955648 1224424 1291008 1433472 1836636 2448848 2866944 3673272 4897696 6275173 7346544 9795392 12550346 14693088 18825519 19590784 25100692 29386176 37651038 39181568 50201384 58772352 75302076 100402768 117544704 150604152 200805536 301208304 401611072 602416608 803222144 1204833216 1606444288 2409666432 4819332864