Search a number
-
+
5373295484160 = 28353733751463
BaseRepresentation
bin100111000110001000101…
…0111100101110100000000
3201000200102012102112102210
41032030101113211310000
51201014002120443120
615232242522142120
71063131162010632
oct116142127456400
921020365375383
105373295484160
11179189024595a
12729469951940
132cc912ccb236
141480d7062a52
1594b899a0ce0
hex4e3115e5d00

5373295484160 has 144 divisors (see below), whose sum is σ = 17206974981504. Its totient is φ = 1429036916736.

The previous prime is 5373295484149. The next prime is 5373295484209. The reversal of 5373295484160 is 614845923735.

It is a self number, because there is not a number n which added to its sum of digits gives 5373295484160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443412 + ... + 3308051.

It is an arithmetic number, because the mean of its divisors is an integer number (119492881816).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5373295484160 = 10746590968320, but 3⋅5373295484160 = 16119886452480 is not.

Almost surely, 25373295484160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5373295484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8603487490752).

5373295484160 is an abundant number, since it is smaller than the sum of its proper divisors (11833679497344).

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

5373295484160 is a wasteful number, since it uses less digits than its factorization.

5373295484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751860 (or 3751846 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 5373295484160 in words is "five trillion, three hundred seventy-three billion, two hundred ninety-five million, four hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 373 384 480 640 746 768 960 1119 1280 1492 1865 1920 2238 2984 3730 3840 4476 5595 5968 7460 8952 11190 11936 14920 17904 22380 23872 29840 35808 44760 47744 59680 71616 89520 95488 119360 143232 179040 238720 286464 358080 477440 716160 1432320 3751463 7502926 11254389 15005852 18757315 22508778 30011704 37514630 45017556 56271945 60023408 75029260 90035112 112543890 120046816 150058520 180070224 225087780 240093632 300117040 360140448 450175560 480187264 600234080 720280896 900351120 960374528 1200468160 1399295699 1440561792 1800702240 2400936320 2798591398 2881123584 3601404480 4197887097 4801872640 5597182796 6996478495 7202808960 8395774194 11194365592 13992956990 14405617920 16791548388 20989435485 22388731184 27985913980 33583096776 41978870970 44777462368 55971827960 67166193552 83957741940 89554924736 111943655920 134332387104 167915483880 179109849472 223887311840 268664774208 335830967760 358219698944 447774623680 537329548416 671661935520 895549247360 1074659096832 1343323871040 1791098494720 2686647742080 5373295484160