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1880367700225 = 52742921932
BaseRepresentation
bin11011010111001110101…
…001100001100100000001
320122202120001120100100111
4123113032221201210001
5221301443112401400
63555455021351321
7252565156510000
oct33271651414401
96582501510314
101880367700225
11665506600353
12264517408541
131084195bc901
1467020300c37
1533da545a3ba
hex1b5cea61901

1880367700225 has 135 divisors (see below), whose sum is σ = 2831806638843. Its totient is φ = 1238482667520.

The previous prime is 1880367700219. The next prime is 1880367700229. The reversal of 1880367700225 is 5220077630881.

The square root of 1880367700225 is 1371265.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1599068998849 + 281298701376 = 1264543^2 + 530376^2 .

It is not a de Polignac number, because 1880367700225 - 25 = 1880367700193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1880367700229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9742837729 + ... + 9742837921.

Almost surely, 21880367700225 is an apocalyptic number.

1880367700225 is the 1371265-th square number.

1880367700225 is the 685633-rd centered octagonal number.

It is an amenable number.

1880367700225 is a deficient number, since it is larger than the sum of its proper divisors (951438938618).

1880367700225 is an frugal number, since it uses more digits than its factorization.

1880367700225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

Multiplying 1880367700225 by its sum of digits (49), we get a square (92138017311025 = 95988552).

1880367700225 divided by its sum of digits (49) gives a square (38374851025 = 1958952).

The spelling of 1880367700225 in words is "one trillion, eight hundred eighty billion, three hundred sixty-seven million, seven hundred thousand, two hundred twenty-five".

Divisors: 1 5 7 25 29 35 49 145 175 193 203 245 343 725 841 965 1015 1225 1351 1421 1715 2401 4205 4825 5075 5597 5887 6755 7105 8575 9457 9947 12005 21025 27985 29435 33775 35525 37249 39179 41209 47285 49735 60025 66199 69629 139925 147175 162313 186245 195895 206045 236425 248675 260743 274253 288463 330995 348145 463393 811565 931225 979475 1030225 1080221 1136191 1303715 1371265 1442315 1654975 1740725 1825201 1919771 2019241 2316965 4057825 5401105 5680955 6518575 6856325 7211575 7561547 7953337 9126005 9598855 10096205 11584825 12776407 13438397 27005525 28404775 31326409 37807735 39766685 45630025 47994275 50481025 52930829 55673359 63882035 67191985 89434849 156632045 189038675 198833425 219284863 264654145 278366795 319410175 335959925 370515803 389713513 447174245 783160225 1096424315 1323270725 1391833975 1534994041 1852579015 1948567565 2235871225 2593610621 5482121575 7674970205 9262895075 9742837825 10744958287 12968053105 38374851025 53724791435 64840265525 75214708009 268623957175 376073540045 1880367700225