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7160199981025 = 527213258812
BaseRepresentation
bin110100000110001110100…
…1011010010011111100001
3221100111201122111012202211
41220030131023102133201
51414303042143343100
623121203411042121
71336210300431400
oct150143513223741
927314648435684
107160199981025
112310695250183
129778405a0341
133cc286143a00
141aa7ac525637
15c63be9e01ba
hex6831d2d27e1

7160199981025 has 81 divisors (see below), whose sum is σ = 11185717616523. Its totient is φ = 4531399891200.

The previous prime is 7160199980993. The next prime is 7160199981037. The reversal of 7160199981025 is 5201899910617.

The square root of 7160199981025 is 2675855.

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 4756931119521 + 2403268861504 = 2181039^2 + 1550248^2 .

It is not a de Polignac number, because 7160199981025 - 25 = 7160199980993 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, 1217511085 + ... + 1217516965.

Almost surely, 27160199981025 is an apocalyptic number.

7160199981025 is the 2675855-th square number.

7160199981025 is the 1337928-th centered octagonal number.

It is an amenable number.

7160199981025 is a deficient number, since it is larger than the sum of its proper divisors (4025517635498).

7160199981025 is an frugal number, since it uses more digits than its factorization.

7160199981025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 58.

The spelling of 7160199981025 in words is "seven trillion, one hundred sixty billion, one hundred ninety-nine million, nine hundred eighty-one 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 5881 5915 8281 15925 29405 29575 41167 41405 76453 147025 205835 207025 288169 382265 535171 993889 1029175 1440845 1911325 2675855 3746197 4969445 6957223 7204225 13379275 18730985 24847225 34586161 34786115 48700561 93654925 172930805 173930575 242103127 243502805 449620093 864654025 1210515635 1217514025 1694721889 2248100465 3147340651 5845061209 6052578175 8473609445 11240502325 15736703255 22031384557 29225306045 40915428463 42368047225 78683516275 110156922785 146126530225 204577142315 286407999241 550784613925 1022885711575 1432039996205 7160199981025