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12702701887225 = 527279212892
BaseRepresentation
bin1011100011011001010000…
…0010001001111011111001
31122222100220010122121000121
42320312110002021323321
53131110113140342400
643003312442133241
72450511536342200
oct270662402117371
948870803577017
1012702701887225
114058205069349
121511a511b1221
13711b2385425c
1431cb57a88237
1517065e2d221a
hexb8d94089ef9

12702701887225 has 81 divisors (see below), whose sum is σ = 18572280260877. Its totient is φ = 8593493650560.

The previous prime is 12702701887171. The next prime is 12702701887273. The reversal of 12702701887225 is 52278810720721.

The square root of 12702701887225 is 3564085.

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

12702701887225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 472489889641 + 12230211997584 = 687379^2 + 3497172^2 .

It is not a de Polignac number, because 12702701887225 - 211 = 12702701885177 is a prime.

It is a super-2 number, since 2×127027018872252 (a number of 27 digits) contains 22 as substring.

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, 9854694381 + ... + 9854695669.

Almost surely, 212702701887225 is an apocalyptic number.

12702701887225 is the 3564085-th square number.

12702701887225 is the 1782043-rd centered octagonal number.

It is an amenable number.

12702701887225 is a deficient number, since it is larger than the sum of its proper divisors (5869578373652).

12702701887225 is an frugal number, since it uses more digits than its factorization.

12702701887225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 52.

The spelling of 12702701887225 in words is "twelve trillion, seven hundred two billion, seven hundred one million, eight hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 79 175 245 395 553 1225 1289 1975 2765 3871 6241 6445 9023 13825 19355 31205 32225 43687 45115 63161 96775 101831 156025 218435 225575 305809 315805 509155 712817 1092175 1529045 1579025 1661521 2545775 3564085 4989719 7645225 8044649 8307605 11630647 17820425 24948595 40223245 41538025 56312543 58153235 81414529 124742975 131260159 201116225 281562715 290766175 394187801 407072645 656300795 918821113 1407813575 1970939005 2035363225 3281503975 4594105565 6431747791 9854695025 10369552561 22970527825 32158738955 51847762805 72586867927 160793694775 259238814025 362934339635 508108075489 1814671698175 2540540377445 12702701887225