Search a number
-
+
56342429960 = 23559220310837
BaseRepresentation
bin110100011110010001…
…010100000100001000
312101102121012222220012
4310132101110010020
51410342130224320
641514445451052
74033134516125
oct643621240410
9171377188805
1056342429960
1121992918603
12ab04b70a88
13540ba7116b
142a26bd974c
1516eb5bd4c5
hexd1e454108

56342429960 has 64 divisors (see below), whose sum is σ = 128989540800. Its totient is φ = 22142889216.

The previous prime is 56342429953. The next prime is 56342429963. The reversal of 56342429960 is 6992424365.

It is a junction number, because it is equal to n+sod(n) for n = 56342429899 and 56342429908.

It is not an unprimeable number, because it can be changed into a prime (56342429963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5193662 + ... + 5204498.

It is an arithmetic number, because the mean of its divisors is an integer number (2015461575).

Almost surely, 256342429960 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 56342429960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64494770400).

56342429960 is an abundant number, since it is smaller than the sum of its proper divisors (72647110840).

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

56342429960 is a wasteful number, since it uses less digits than its factorization.

56342429960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13110 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 50.

The spelling of 56342429960 in words is "fifty-six billion, three hundred forty-two million, four hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2203 2360 4406 8812 10837 11015 17624 21674 22030 43348 44060 54185 86696 88120 108370 129977 216740 259954 433480 519908 639383 649885 1039816 1278766 1299770 2557532 2599540 3196915 5115064 5199080 6393830 12787660 23873911 25575320 47747822 95495644 119369555 190991288 238739110 477478220 954956440 1408560749 2817121498 5634242996 7042803745 11268485992 14085607490 28171214980 56342429960