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20496217225 = 521121921372
BaseRepresentation
bin10011000101101010…
…110111010010001001
31221220102020201022111
4103011222313102021
5313434012422400
613225453022321
71323625654231
oct230552672211
957812221274
1020496217225
118768642400
123b801849a1
131c18436cb3
14dc6174cc1
157ee5d83ba
hex4c5ab7489

20496217225 has 81 divisors (see below), whose sum is σ = 29700306741. Its totient is φ = 14018716800.

The previous prime is 20496217211. The next prime is 20496217237. The reversal of 20496217225 is 52271269402.

The square root of 20496217225 is 143165.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59799289 + 20436417936 = 7733^2 + 142956^2 .

It is not a de Polignac number, because 20496217225 - 217 = 20496086153 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 149607357 + ... + 149607493.

Almost surely, 220496217225 is an apocalyptic number.

20496217225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20496217225 is the 143165-th square number.

20496217225 is the 71583-rd centered octagonal number.

It is an amenable number.

20496217225 is a deficient number, since it is larger than the sum of its proper divisors (9204089516).

20496217225 is a wasteful number, since it uses less digits than its factorization.

20496217225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 20496217225 in words is "twenty billion, four hundred ninety-six million, two hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 5 11 19 25 55 95 121 137 209 275 361 475 605 685 1045 1507 1805 2299 2603 3025 3425 3971 5225 7535 9025 11495 13015 16577 18769 19855 28633 37675 43681 49457 57475 65075 82885 93845 99275 143165 206459 218405 247285 314963 356611 414425 469225 544027 715825 1032295 1092025 1236425 1574815 1783055 2271049 2720135 3922721 5161475 5984297 6775609 7874075 8915275 11355245 13600675 19613605 29921485 33878045 43149931 56776225 74531699 98068025 149607425 169390225 215749655 372658495 819848689 1078748275 1863292475 4099243445 20496217225