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20763369025 = 52722321792
BaseRepresentation
bin10011010101100101…
…111101111001000001
31222121000221102200121
4103111211331321001
5320010410302100
613312155020241
71333351503400
oct232545757101
958530842617
1020763369025
118895420513
12403573a681
131c5b8a3599
14100d837637
15817ca951a
hex4d597de41

20763369025 has 81 divisors (see below), whose sum is σ = 31484782371. Its totient is φ = 13542624480.

The previous prime is 20763369013. The next prime is 20763369037. The reversal of 20763369025 is 52096336702.

The square root of 20763369025 is 144095.

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

It is an interprime number because it is at equal distance from previous prime (20763369013) and next prime (20763369037).

It can be written as a sum of positive squares in only one way, i.e., 7474812849 + 13288556176 = 86457^2 + 115276^2 .

It is not a de Polignac number, because 20763369025 - 25 = 20763368993 is a prime.

It is a super-2 number, since 2×207633690252 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 115996386 + ... + 115996564.

Almost surely, 220763369025 is an apocalyptic number.

20763369025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20763369025 is the 144095-th square number.

20763369025 is the 72048-th centered octagonal number.

It is an amenable number.

20763369025 is a deficient number, since it is larger than the sum of its proper divisors (10721413346).

20763369025 is an equidigital number, since it uses as much as digits as its factorization.

20763369025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 20763369025 in words is "twenty billion, seven hundred sixty-three million, three hundred sixty-nine thousand, twenty-five".

Divisors: 1 5 7 23 25 35 49 115 161 175 179 245 529 575 805 895 1127 1225 1253 2645 3703 4025 4117 4475 5635 6265 8771 13225 18515 20585 25921 28175 28819 31325 32041 43855 92575 94691 102925 129605 144095 160205 201733 219275 224287 473455 648025 662837 720475 736943 801025 1008665 1121435 1570009 2367275 3314185 3684715 4639859 5043325 5158601 5607175 7850045 16570925 16949689 18423575 23199295 25793005 36110207 39250225 84748445 115996475 118647823 128965025 180551035 423742225 593239115 830534761 902755175 2966195575 4152673805 20763369025