Search a number
-
+
54332204800 = 285243119697
BaseRepresentation
bin110010100110011100…
…111010011100000000
312012020111121222101111
4302212130322130000
51342233021023200
640543155413104
73632255056306
oct624634723400
9165214558344
1054332204800
11210511276a5
12a6438b4194
13517b456913
1428b5c3c276
15162ed8b0ba
hexca673a700

54332204800 has 108 divisors (see below), whose sum is σ = 134799559776. Its totient is φ = 21681356800.

The previous prime is 54332204747. The next prime is 54332204809. The reversal of 54332204800 is 840223345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54332204809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2748552 + ... + 2768248.

It is an arithmetic number, because the mean of its divisors is an integer number (1248144072).

Almost surely, 254332204800 is an apocalyptic number.

54332204800 is a gapful number since it is divisible by the number (50) 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 54332204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67399779888).

54332204800 is an abundant number, since it is smaller than the sum of its proper divisors (80467354976).

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

54332204800 is a wasteful number, since it uses less digits than its factorization.

54332204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20154 (or 20135 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 54332204800 in words is "fifty-four billion, three hundred thirty-two million, two hundred four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 431 640 800 862 1280 1600 1724 2155 3200 3448 4310 6400 6896 8620 10775 13792 17240 19697 21550 27584 34480 39394 43100 55168 68960 78788 86200 98485 110336 137920 157576 172400 196970 275840 315152 344800 393940 492425 551680 630304 689600 787880 984850 1260608 1379200 1575760 1969700 2521216 2758400 3151520 3939400 5042432 6303040 7878800 8489407 12606080 15757600 16978814 25212160 31515200 33957628 42447035 63030400 67915256 84894070 126060800 135830512 169788140 212235175 271661024 339576280 424470350 543322048 679152560 848940700 1086644096 1358305120 1697881400 2173288192 2716610240 3395762800 5433220480 6791525600 10866440960 13583051200 27166102400 54332204800