Search a number
-
+
5105774544 = 2431319430649
BaseRepresentation
bin1001100000101001…
…11110111111010000
3111011211102012221220
410300110332333100
540424034241134
62202350245040
7240345240033
oct46024767720
914154365856
105105774544
112190092a92
12ba5ab6780
13634a44890
1436615701a
151ed39c149
hex13053efd0

5105774544 has 80 divisors (see below), whose sum is σ = 14952168000. Its totient is φ = 1488319488.

The previous prime is 5105774537. The next prime is 5105774551. The reversal of 5105774544 is 4454775015.

It is an interprime number because it is at equal distance from previous prime (5105774537) and next prime (5105774551).

It is a junction number, because it is equal to n+sod(n) for n = 5105774496 and 5105774505.

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, 203469 + ... + 227180.

It is an arithmetic number, because the mean of its divisors is an integer number (186902100).

Almost surely, 25105774544 is an apocalyptic number.

It is an amenable number.

5105774544 is an abundant number, since it is smaller than the sum of its proper divisors (9846393456).

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

5105774544 is a wasteful number, since it uses less digits than its factorization.

5105774544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430692 (or 430686 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 42.

The square root of 5105774544 is about 71454.7027423668. The cubic root of 5105774544 is about 1721.9500309921.

The spelling of 5105774544 in words is "five billion, one hundred five million, seven hundred seventy-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 430649 861298 1291947 1722596 2583894 3445192 5167788 5598437 6890384 8182331 10335576 11196874 16364662 16795311 20671152 22393748 24546993 32729324 33590622 44787496 49093986 65458648 67181244 89574992 98187972 106370303 130917296 134362488 196375944 212740606 268724976 319110909 392751888 425481212 638221818 850962424 1276443636 1701924848 2552887272 5105774544