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10345196796025 = 527213270692
BaseRepresentation
bin1001011010001010110111…
…0001111011100001111001
31100121222202112220102000211
42112202231301323201321
52323443430334433100
634000303502231121
72115262422606400
oct226425561734171
940558675812024
1010345196796025
113329411990103
1211b0b755854a1
135a07178a0100
1427a9d2aca637
1512e1804651ba
hex968adc7b879

10345196796025 has 81 divisors (see below), whose sum is σ = 16160881409991. Its totient is φ = 6547242199680.

The previous prime is 10345196796007. The next prime is 10345196796047. The reversal of 10345196796025 is 52069769154301.

The square root of 10345196796025 is 3216395.

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 10241350444521 + 103846351504 = 3200211^2 + 322252^2 .

It is not a de Polignac number, because 10345196796025 - 213 = 10345196787833 is a prime.

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, 1463456191 + ... + 1463463259.

Almost surely, 210345196796025 is an apocalyptic number.

10345196796025 is the 3216395-th square number.

10345196796025 is the 1608198-th centered octagonal number.

It is an amenable number.

10345196796025 is a deficient number, since it is larger than the sum of its proper divisors (5815684613966).

10345196796025 is an frugal number, since it uses more digits than its factorization.

10345196796025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14188 (or 7094 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 58.

The spelling of 10345196796025 in words is "ten trillion, three hundred forty-five billion, one hundred ninety-six million, seven hundred ninety-six thousand, twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 845 1183 1225 2275 3185 4225 5915 7069 8281 15925 29575 35345 41405 49483 91897 176725 207025 247415 346381 459485 643279 1194661 1237075 1731905 2297425 3216395 4502953 5973305 8362627 8659525 16081975 22514765 29866525 41813135 49970761 58538389 112573825 209065675 249853805 292691945 349795327 649619893 1249269025 1463459725 1748976635 2448567289 3248099465 4547339251 8445058609 8744883175 12242836445 16240497325 22736696255 31831374757 42225293045 59115410263 61214182225 113683481275 159156873785 211126465225 295577051315 413807871841 795784368925 1477885256575 2069039359205 10345196796025