Search a number
-
+
54453435400 = 23527213427421
BaseRepresentation
bin110010101101101011…
…010111110000001000
312012112221202010111201
4302231223113300020
51343010034413100
641003210033544
73635256364300
oct625553276010
9165487663451
1054453435400
11211035a9a81
12a6784188b4
13519a5c19c0
1428c7d98600
15163a83636a
hexcadad7c08

54453435400 has 144 divisors (see below), whose sum is σ = 158603481540. Its totient is φ = 17233574400.

The previous prime is 54453435389. The next prime is 54453435457. The reversal of 54453435400 is 453435445.

54453435400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3059638596 + 51393796804 = 55314^2 + 226702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54453435400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86311 + ... + 341110.

Almost surely, 254453435400 is an apocalyptic number.

54453435400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54453435400 is an abundant number, since it is smaller than the sum of its proper divisors (104150046140).

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

54453435400 is a wasteful number, since it uses less digits than its factorization.

54453435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427464 (or 427448 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

The spelling of 54453435400 in words is "fifty-four billion, four hundred fifty-three million, four hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 49 50 52 56 65 70 91 98 100 104 130 140 175 182 196 200 245 260 280 325 350 364 392 455 490 520 637 650 700 728 910 980 1225 1274 1300 1400 1820 1960 2275 2450 2548 2600 3185 3640 4550 4900 5096 6370 9100 9800 12740 15925 18200 25480 31850 63700 127400 427421 854842 1709684 2137105 2991947 3419368 4274210 5556473 5983894 8548420 10685525 11112946 11967788 14959735 17096840 20943629 21371050 22225892 23935576 27782365 29919470 38895311 41887258 42742100 44451784 55564730 59838940 74798675 77790622 83774516 85484200 104718145 111129460 119677880 138911825 149597350 155581244 167549032 194476555 209436290 222258920 272267177 277823650 299194700 311162488 388953110 418872580 523590725 544534354 555647300 598389400 777906220 837745160 972382775 1047181450 1089068708 1111294600 1361335885 1555812440 1944765550 2094362900 2178137416 2722671770 3889531100 4188725800 5445343540 6806679425 7779062200 10890687080 13613358850 27226717700 54453435400