Search a number
-
+
5506325020 = 22572191132617
BaseRepresentation
bin1010010000011001…
…11101101000011100
3112012202010021220201
411020030331220130
542234104400040
62310215353244
7253310663500
oct51014755034
915182107821
105506325020
1123761a4539
121098082824
13699a198b1
143a3422300
1522361da9a
hex14833da1c

5506325020 has 144 divisors (see below), whose sum is σ = 14289881760. Its totient is φ = 1772015616.

The previous prime is 5506324991. The next prime is 5506325029. The reversal of 5506325020 is 205236055.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5506325020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506325029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2102752 + ... + 2105368.

It is an arithmetic number, because the mean of its divisors is an integer number (99235290).

Almost surely, 25506325020 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 5506325020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144940880).

5506325020 is an abundant number, since it is smaller than the sum of its proper divisors (8783556740).

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

5506325020 is a wasteful number, since it uses less digits than its factorization.

5506325020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 5506325020 is about 74204.6158941612. The cubic root of 5506325020 is about 1765.8505606817.

The spelling of 5506325020 in words is "five billion, five hundred six million, three hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 113 133 140 190 196 226 245 266 380 452 490 532 565 665 791 931 980 1130 1330 1582 1862 2147 2260 2617 2660 3164 3724 3955 4294 4655 5234 5537 7910 8588 9310 10468 10735 11074 13085 15029 15820 18319 18620 21470 22148 26170 27685 30058 36638 42940 49723 52340 55370 60116 73276 75145 91595 99446 105203 110740 128233 150290 183190 198892 210406 248615 256466 295721 300580 348061 366380 420812 497230 512932 526015 591442 641165 696122 994460 1052030 1182884 1282330 1392244 1478605 1740305 2070047 2104060 2436427 2564660 2957210 3480610 4140094 4872854 5618699 5914420 6961220 8280188 9745708 10350235 11237398 12182135 14490329 20700470 22474796 24364270 28093495 28980658 39330893 41400940 48728540 56186990 57961316 72451645 78661786 112373980 144903290 157323572 196654465 275316251 289806580 393308930 550632502 786617860 1101265004 1376581255 2753162510 5506325020