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5443146456 = 2331137954401
BaseRepresentation
bin1010001000110111…
…11101001011011000
3112001100020111012220
411010123331023120
542121421141311
62300041304040
7251612660436
oct50433751330
915040214186
105443146456
112343572550
12107aa95020
136898c8c27
14398c97d56
1521ccde206
hex1446fd2d8

5443146456 has 64 divisors (see below), whose sum is σ = 14884387200. Its totient is φ = 1645056000.

The previous prime is 5443146437. The next prime is 5443146463. The reversal of 5443146456 is 6546413445.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72856 + ... + 127256.

It is an arithmetic number, because the mean of its divisors is an integer number (232568550).

Almost surely, 25443146456 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 5443146456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442193600).

5443146456 is an abundant number, since it is smaller than the sum of its proper divisors (9441240744).

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

5443146456 is a wasteful number, since it uses less digits than its factorization.

5443146456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54800 (or 54796 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 5443146456 is about 73777.6826418396. The cubic root of 5443146456 is about 1759.0708827043.

The spelling of 5443146456 in words is "five billion, four hundred forty-three million, one hundred forty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 379 758 1137 1516 2274 3032 4169 4548 8338 9096 12507 16676 25014 33352 50028 54401 100056 108802 163203 217604 326406 435208 598411 652812 1196822 1305624 1795233 2393644 3590466 4787288 7180932 14361864 20617979 41235958 61853937 82471916 123707874 164943832 226797769 247415748 453595538 494831496 680393307 907191076 1360786614 1814382152 2721573228 5443146456