Search a number
-
+
5541873036 = 22371372711777
BaseRepresentation
bin1010010100101001…
…00100010110001100
3112022020000022121220
411022110210112030
542322204414121
62313525323340
7254222100150
oct51224442614
915266008556
105541873036
112394274267
1210a7b66550
136a41b4c1b
143a8037060
152267e16c6
hex14a52458c

5541873036 has 96 divisors (see below), whose sum is σ = 14949537792. Its totient is φ = 1565153280.

The previous prime is 5541873031. The next prime is 5541873083. The reversal of 5541873036 is 6303781455.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5541873031) 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 31 ways as a sum of consecutive naturals, for example, 3117780 + ... + 3119556.

It is an arithmetic number, because the mean of its divisors is an integer number (155724352).

Almost surely, 25541873036 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 5541873036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474768896).

5541873036 is an abundant number, since it is smaller than the sum of its proper divisors (9407664756).

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

5541873036 is a wasteful number, since it uses less digits than its factorization.

5541873036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5541873036 is about 74443.7575354710. The cubic root of 5541873036 is about 1769.6424353527.

The spelling of 5541873036 in words is "five billion, five hundred forty-one million, eight hundred seventy-three thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 271 274 411 542 548 813 822 959 1084 1626 1644 1777 1897 1918 2877 3252 3554 3794 3836 5331 5691 5754 7108 7588 10662 11382 11508 12439 21324 22764 24878 37127 37317 49756 74254 74634 111381 148508 149268 222762 243449 259889 445524 481567 486898 519778 730347 779667 963134 973796 1039556 1444701 1460694 1559334 1704143 1926268 2889402 2921388 3118668 3370969 3408286 5112429 5778804 6741938 6816572 10112907 10224858 13483876 20225814 20449716 40451628 65974679 131949358 197924037 263898716 395848074 461822753 791696148 923645506 1385468259 1847291012 2770936518 5541873036