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32380203025 = 52172292732
BaseRepresentation
bin11110001010000000…
…101011000000010001
310002120122001202002201
4132022000223000101
51012303312444100
622513020043201
72224261120162
oct361200530021
9102518052081
1032380203025
1112806864875
126338093501
13309053bb61
1417d25d3769
15c97a8e36a
hex78a02b011

32380203025 has 81 divisors (see below), whose sum is σ = 44787125721. Its totient is φ = 23217223680.

The previous prime is 32380203017. The next prime is 32380203133. The reversal of 32380203025 is 52030208323.

The square root of 32380203025 is 179945.

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

It can be written as a sum of positive squares in 40 ways, for example, as 30463164369 + 1917038656 = 174537^2 + 43784^2 .

It is not a de Polignac number, because 32380203025 - 23 = 32380203017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32380202984 and 32380203002.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 443564389 + ... + 443564461.

Almost surely, 232380203025 is an apocalyptic number.

32380203025 is the 179945-th square number.

32380203025 is the 89973-rd centered octagonal number.

It is an amenable number.

32380203025 is a deficient number, since it is larger than the sum of its proper divisors (12406922696).

32380203025 is an equidigital number, since it uses as much as digits as its factorization.

32380203025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 32380203025 in words is "thirty-two billion, three hundred eighty million, two hundred three thousand, twenty-five".

Divisors: 1 5 17 25 29 73 85 145 289 365 425 493 725 841 1241 1445 1825 2117 2465 4205 5329 6205 7225 8381 10585 12325 14297 21025 21097 26645 31025 35989 41905 52925 61393 71485 90593 105485 133225 154541 179945 209525 243049 306965 357425 452965 527425 611813 772705 899725 1043681 1215245 1534825 1540081 2264825 2627197 3059065 3863525 4481689 5218405 6076225 7700405 13135985 15295325 17742577 22408445 26092025 38502025 44662349 65679925 76188713 88712885 112042225 223311745 380943565 443564425 1116558725 1295208121 1904717825 6476040605 32380203025