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96973074025 = 5261210212
BaseRepresentation
bin101101001010000001…
…0111010111001101001
3100021022012221120102021
41122110002322321221
53042100101332100
6112314313304441
710002040346302
oct1322402727151
9307265846367
1096973074025
1138142854893
1216964105121
1391b568b499
14499d0497a9
1527c8627a1a
hex16940bae69

96973074025 has 27 divisors (see below), whose sum is σ = 122370036399. Its totient is φ = 76231944000.

The previous prime is 96973074017. The next prime is 96973074059. The reversal of 96973074025 is 52047037969.

The square root of 96973074025 is 311405.

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 95538482649 + 1434591376 = 309093^2 + 37876^2 .

It is not a de Polignac number, because 96973074025 - 23 = 96973074017 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, 94978015 + ... + 94979035.

Almost surely, 296973074025 is an apocalyptic number.

96973074025 is the 311405-th square number.

96973074025 is the 155703-rd centered octagonal number.

It is an amenable number.

96973074025 is a deficient number, since it is larger than the sum of its proper divisors (25396962374).

96973074025 is an frugal number, since it uses more digits than its factorization.

96973074025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 96973074025 in words is "ninety-six billion, nine hundred seventy-three million, seventy-four thousand, twenty-five".

Divisors: 1 5 25 61 305 1021 1525 3721 5105 18605 25525 62281 93025 311405 1042441 1557025 3799141 5212205 18995705 26061025 63588901 94978525 317944505 1589722525 3878922961 19394614805 96973074025