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5503125144 = 23311293719427
BaseRepresentation
bin1010010000000001…
…10000011010011000
3112012112002201111210
411020000300122120
542232300001034
62310023023120
7253241535426
oct51000603230
915175081453
105503125144
112374409410
121096b9aaa0
1369916928a
143a2c2c116
152231da8e9
hex148030698

5503125144 has 128 divisors (see below), whose sum is σ = 15946502400. Its totient is φ = 1566512640.

The previous prime is 5503125071. The next prime is 5503125149. The reversal of 5503125144 is 4415213055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5503125149) 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, 273559 + ... + 292985.

It is an arithmetic number, because the mean of its divisors is an integer number (124582050).

Almost surely, 25503125144 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 5503125144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973251200).

5503125144 is an abundant number, since it is smaller than the sum of its proper divisors (10443377256).

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

5503125144 is a wasteful number, since it uses less digits than its factorization.

5503125144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19513 (or 19509 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5503125144 is about 74183.0515953611. The cubic root of 5503125144 is about 1765.5084330548.

Adding to 5503125144 its reverse (4415213055), we get a palindrome (9918338199).

The spelling of 5503125144 in words is "five billion, five hundred three million, one hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 37 44 58 66 74 87 88 111 116 132 148 174 222 232 264 296 319 348 407 444 638 696 814 888 957 1073 1221 1276 1628 1914 2146 2442 2552 3219 3256 3828 4292 4884 6438 7656 8584 9768 11803 12876 19427 23606 25752 35409 38854 47212 58281 70818 77708 94424 116562 141636 155416 213697 233124 283272 427394 466248 563383 641091 718799 854788 1126766 1282182 1437598 1690149 1709576 2156397 2253532 2564364 2875196 3380298 4312794 4507064 5128728 5750392 6197213 6760596 7906789 8625588 12394426 13521192 15813578 17251176 18591639 20845171 23720367 24788852 31627156 37183278 41690342 47440734 49577704 62535513 63254312 74366556 83380684 94881468 125071026 148733112 166761368 189762936 229296881 250142052 458593762 500284104 687890643 917187524 1375781286 1834375048 2751562572 5503125144