Search a number
-
+
54289251280 = 24511411504691
BaseRepresentation
bin110010100011111001…
…000011101111010000
312012010111210201020101
4302203321003233100
51342141022020110
640535023022144
73631224010345
oct624371035720
9165114721211
1054289251280
112102995a020
12a63143a954
135172597934
1428b025a7cc
15162b20413a
hexca3e43bd0

54289251280 has 80 divisors (see below), whose sum is σ = 141055846848. Its totient is φ = 19260032000.

The previous prime is 54289251277. The next prime is 54289251283. The reversal of 54289251280 is 8215298245.

54289251280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54289251277) and next prime (54289251283).

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54289251280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54289251283) 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, 716266 + ... + 788425.

Almost surely, 254289251280 is an apocalyptic number.

It is an amenable number.

54289251280 is an abundant number, since it is smaller than the sum of its proper divisors (86766595568).

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

54289251280 is a wasteful number, since it uses less digits than its factorization.

54289251280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504756 (or 1504750 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 54289251280 in words is "fifty-four billion, two hundred eighty-nine million, two hundred fifty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 36080 1504691 3009382 6018764 7523455 12037528 15046910 16551601 24075056 30093820 33103202 60187640 61692331 66206404 82758005 120375280 123384662 132412808 165516010 246769324 264825616 308461655 331032020 493538648 616923310 662064040 678615641 987077296 1233846620 1324128080 1357231282 2467693240 2714462564 3393078205 4935386480 5428925128 6786156410 10857850256 13572312820 27144625640 54289251280