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49967896225 = 521321921812
BaseRepresentation
bin101110100010010100…
…011001011010100001
311202222100102010112011
4232202110121122201
51304313240134400
634542133232521
73416152052512
oct564224313241
9152870363464
1049967896225
111a211636005
129826192741
13493420c300
1425c0374a09
151476b528ba
hexba25196a1

49967896225 has 81 divisors (see below), whose sum is σ = 71203428459. Its totient is φ = 34764163200.

The previous prime is 49967896219. The next prime is 49967896241. The reversal of 49967896225 is 52269876994.

The square root of 49967896225 is 223535.

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 41384985489 + 8582910736 = 203433^2 + 92644^2 .

It is not a de Polignac number, because 49967896225 - 29 = 49967895713 is a prime.

It is a super-3 number, since 3×499678962253 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

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, 276065635 + ... + 276065815.

Almost surely, 249967896225 is an apocalyptic number.

49967896225 is the 223535-th square number.

49967896225 is the 111768-th centered octagonal number.

It is an amenable number.

49967896225 is a deficient number, since it is larger than the sum of its proper divisors (21235532234).

49967896225 is a wasteful number, since it uses less digits than its factorization.

49967896225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 67.

The spelling of 49967896225 in words is "forty-nine billion, nine hundred sixty-seven million, eight hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 169 181 247 325 361 475 845 905 1235 1805 2353 3211 3439 4225 4525 4693 6175 9025 11765 16055 17195 23465 30589 32761 44707 58825 61009 65341 80275 85975 117325 152945 163805 223535 305045 326705 425893 581191 622459 764725 819025 849433 1117675 1525225 1633525 2129465 2905955 3112295 4247165 5536609 8091967 10647325 11042629 11826721 14529775 15561475 21235825 27683045 40459835 55213145 59133605 105195571 138415225 153747373 202299175 276065725 295668025 525977855 768736865 1998715849 2629889275 3843684325 9993579245 49967896225