Search a number
-
+
56203359672100 = 2252712105592
BaseRepresentation
bin11001100011101110111010…
…10010011101011100100100
321100222222200202210112020111
430301313131102131130210
524331313440034001400
6315311244511542404
714560362434551564
oct1461673522353444
9240888622715214
1056203359672100
11169a9790353053
12637870752aa04
132548c53147ba4
14dc4385788da4
15676ea1eaa3ba
hex331ddd49d724

56203359672100 has 81 divisors (see below), whose sum is σ = 123714965553361. Its totient is φ = 22162606093600.

The previous prime is 56203359672071. The next prime is 56203359672127. The reversal of 56203359672100 is 127695330265.

The square root of 56203359672100 is 7496890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20233209481956 + 35970150190144 = 4498134^2 + 5997512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5322786621 + ... + 5322797179.

Almost surely, 256203359672100 is an apocalyptic number.

56203359672100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56203359672100 is the 7496890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56203359672100

56203359672100 is an abundant number, since it is smaller than the sum of its proper divisors (67511605881261).

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

56203359672100 is an frugal number, since it uses more digits than its factorization.

56203359672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21274 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 49.

The spelling of 56203359672100 in words is "fifty-six trillion, two hundred three billion, three hundred fifty-nine million, six hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 3550 5041 7100 10082 10559 20164 21118 25205 42236 50410 52795 100820 105590 126025 211180 252050 263975 504100 527950 749689 1055900 1499378 2998756 3748445 7496890 14993780 18742225 37484450 53227919 74968900 106455838 111492481 212911676 222984962 266139595 445969924 532279190 557462405 1064558380 1114924810 1330697975 2229849620 2661395950 2787312025 5322791900 5574624050 7915966151 11149248100 15831932302 31663864604 39579830755 79159661510 158319323020 197899153775 395798307550 562033596721 791596615100 1124067193442 2248134386884 2810167983605 5620335967210 11240671934420 14050839918025 28101679836050 56203359672100