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5505050520 = 2333513936671
BaseRepresentation
bin1010010000010000…
…00110011110011000
3112012122201112122000
411020020012132120
542233243104040
62310132201000
7253264104654
oct51010063630
915178645560
105505050520
112375503a32
121097769160
13699691758
143a31ada64
1522346b130
hex148206798

5505050520 has 128 divisors (see below), whose sum is σ = 18482688000. Its totient is φ = 1457412480.

The previous prime is 5505050503. The next prime is 5505050527. The reversal of 5505050520 is 250505055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505050527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131785 + ... + 168455.

It is an arithmetic number, because the mean of its divisors is an integer number (144396000).

Almost surely, 25505050520 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 5505050520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241344000).

5505050520 is an abundant number, since it is smaller than the sum of its proper divisors (12977637480).

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

5505050520 is a wasteful number, since it uses less digits than its factorization.

5505050520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36830 (or 36820 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 27.

The square root of 5505050520 is about 74196.0276564723. The cubic root of 5505050520 is about 1765.7143082693.

Adding to 5505050520 its reverse (250505055), we get a palindrome (5755555575).

It can be divided in two parts, 55050 and 50520, that added together give a triangular number (105570 = T459).

The spelling of 5505050520 in words is "five billion, five hundred five million, fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 139 180 216 270 278 360 417 540 556 695 834 1080 1112 1251 1390 1668 2085 2502 2780 3336 3753 4170 5004 5560 6255 7506 8340 10008 12510 15012 16680 18765 25020 30024 36671 37530 50040 73342 75060 110013 146684 150120 183355 220026 293368 330039 366710 440052 550065 660078 733420 880104 990117 1100130 1320156 1466840 1650195 1980234 2200260 2640312 3300390 3960468 4400520 4950585 5097269 6600780 7920936 9901170 10194538 13201560 15291807 19802340 20389076 25486345 30583614 39604680 40778152 45875421 50972690 61167228 76459035 91750842 101945380 122334456 137626263 152918070 183501684 203890760 229377105 275252526 305836140 367003368 458754210 550505052 611672280 688131315 917508420 1101010104 1376262630 1835016840 2752525260 5505050520