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406907479449 = 34708772
BaseRepresentation
bin1011110101111011001…
…00110110010110011001
31102220022002012200110000
411322331210312112121
523131321303320244
6510533011243213
741253355336032
oct5727544662631
91386262180400
10406907479449
111476287339a9
1266a405a9509
132c4a971bca3
14159a1717a89
15a8b8039169
hex5ebd936599

406907479449 has 15 divisors (see below), whose sum is σ = 607858020847. Its totient is φ = 271267825608.

The previous prime is 406907479441. The next prime is 406907479463. The reversal of 406907479449 is 944974709604.

The square root of 406907479449 is 637893.

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

406907479449 is a `hidden beast` number, since 406 + 90 + 74 + 79 + 4 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 404133561225 + 2773918224 = 635715^2 + 52668^2 .

It is not a de Polignac number, because 406907479449 - 23 = 406907479441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406907479441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5705599 + ... + 5776475.

Almost surely, 2406907479449 is an apocalyptic number.

406907479449 is the 637893-rd square number.

406907479449 is the 318947-th centered octagonal number.

It is an amenable number.

406907479449 is a deficient number, since it is larger than the sum of its proper divisors (200950541398).

406907479449 is an frugal number, since it uses more digits than its factorization.

406907479449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141766 (or 70880 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 406907479449 in words is "four hundred six billion, nine hundred seven million, four hundred seventy-nine thousand, four hundred forty-nine".

Divisors: 1 3 9 27 81 70877 212631 637893 1913679 5741037 5023549129 15070647387 45211942161 135635826483 406907479449