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5505230432 = 2513210110079
BaseRepresentation
bin1010010000010001…
…10010011001100000
3112012200001200102102
411020020302121200
542233314333212
62310140105532
7253265454332
oct51010623140
915180050372
105505230432
112375617119
1210978352a8
13699725600
143a3219452
152234a45c2
hex148232660

5505230432 has 72 divisors (see below), whose sum is σ = 11853656640. Its totient is φ = 2515468800.

The previous prime is 5505230371. The next prime is 5505230459. The reversal of 5505230432 is 2340325055.

It is a junction number, because it is equal to n+sod(n) for n = 5505230395 and 5505230404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541169 + ... + 551247.

It is an arithmetic number, because the mean of its divisors is an integer number (164634120).

Almost surely, 25505230432 is an apocalyptic number.

5505230432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926828320).

5505230432 is an abundant number, since it is smaller than the sum of its proper divisors (6348426208).

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

5505230432 is a wasteful number, since it uses less digits than its factorization.

5505230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10195 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The square root of 5505230432 is about 74197.2400564873. The cubic root of 5505230432 is about 1765.7335433172.

Adding to 5505230432 its reverse (2340325055), we get a palindrome (7845555487).

The spelling of 5505230432 in words is "five billion, five hundred five million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 169 202 208 338 404 416 676 808 1313 1352 1616 2626 2704 3232 5252 5408 10079 10504 17069 20158 21008 34138 40316 42016 68276 80632 131027 136552 161264 262054 273104 322528 524108 546208 1017979 1048216 1703351 2035958 2096432 3406702 4071916 4192864 6813404 8143832 13233727 13626808 16287664 26467454 27253616 32575328 52934908 54507232 105869816 172038451 211739632 344076902 423479264 688153804 1376307608 2752615216 5505230432