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10742286025 = 5219210912
BaseRepresentation
bin10100000000100101…
…00100011011001001
31000201122111200010101
422000102210123021
5134000011123100
64533540245401
7530126632102
oct120022443311
930648450111
1010742286025
114612816539
1220b96a0861
131022713a83
1473c9873a9
1542d13486a
hex2804a46c9

10742286025 has 27 divisors (see below), whose sum is σ = 14071306503. Its totient is φ = 8134059600.

The previous prime is 10742286001. The next prime is 10742286073. The reversal of 10742286025 is 52068224701.

It is a happy number.

The square root of 10742286025 is 103645.

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

It can be written as a sum of positive squares in only one way, i.e., 3867222969 + 6875063056 = 62187^2 + 82916^2 .

It is a de Polignac number, because none of the positive numbers 2k-10742286025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9845730 + ... + 9846820.

Almost surely, 210742286025 is an apocalyptic number.

10742286025 is the 103645-th square number.

10742286025 is the 51823-rd centered octagonal number.

It is an amenable number.

10742286025 is a deficient number, since it is larger than the sum of its proper divisors (3329020478).

10742286025 is an frugal number, since it uses more digits than its factorization.

10742286025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 10742286025 in words is "ten billion, seven hundred forty-two million, two hundred eighty-six thousand, twenty-five".

Divisors: 1 5 19 25 95 361 475 1091 1805 5455 9025 20729 27275 103645 393851 518225 1190281 1969255 5951405 9846275 22615339 29757025 113076695 429691441 565383475 2148457205 10742286025