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5456563920 = 243352526187
BaseRepresentation
bin1010001010011110…
…01000111011010000
3112002021111011112000
411011033020323100
542133340021140
62301241034000
7252135012423
oct50517107320
915067434460
105456563920
1123500a7265
121083485900
1368c616162
1439a98b9ba
1521e08ea30
hex1453c8ed0

5456563920 has 80 divisors (see below), whose sum is σ = 18794838720. Its totient is φ = 1455083136.

The previous prime is 5456563883. The next prime is 5456563927. The reversal of 5456563920 is 293656545.

5456563920 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 5 + 639 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456563927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1260934 + ... + 1265253.

It is an arithmetic number, because the mean of its divisors is an integer number (234935484).

Almost surely, 25456563920 is an apocalyptic number.

It is an amenable number.

5456563920 is an abundant number, since it is smaller than the sum of its proper divisors (13338274800).

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

5456563920 is a wasteful number, since it uses less digits than its factorization.

5456563920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526209 (or 2526197 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5456563920 is about 73868.5583993623. The cubic root of 5456563920 is about 1760.5150782380.

The spelling of 5456563920 in words is "five billion, four hundred fifty-six million, five hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2526187 5052374 7578561 10104748 12630935 15157122 20209496 22735683 25261870 30314244 37892805 40418992 45471366 50523740 60628488 68207049 75785610 90942732 101047480 113678415 121256976 136414098 151571220 181885464 202094960 227356830 272828196 303142440 341035245 363770928 454713660 545656392 606284880 682070490 909427320 1091312784 1364140980 1818854640 2728281960 5456563920