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42494936449 = 766012
BaseRepresentation
bin100111100100111001…
…010100010110000001
311001200112201102220011
4213210321110112001
51144012200431244
631304421544521
73033031000000
oct474471242601
9131615642804
1042494936449
1117027313799
12829b575141
134012c2b014
1420b1aa0c37
15118aa62434
hex9e4e54581

42494936449 has 21 divisors (see below), whose sum is σ = 49659994371. Its totient is φ = 36363625200.

The previous prime is 42494936447. The next prime is 42494936453. The reversal of 42494936449 is 94463949424.

The square root of 42494936449 is 206143.

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., 35718354049 + 6776582400 = 188993^2 + 82320^2 .

It is not a de Polignac number, because 42494936449 - 21 = 42494936447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42494936393 and 42494936402.

It is not an unprimeable number, because it can be changed into a prime (42494936447) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 70706749 + ... + 70707349.

Almost surely, 242494936449 is an apocalyptic number.

42494936449 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42494936449 is the 206143-rd square number.

42494936449 is the 103072-nd centered octagonal number.

It is an amenable number.

42494936449 is a deficient number, since it is larger than the sum of its proper divisors (7165057922).

42494936449 is an frugal number, since it uses more digits than its factorization.

42494936449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 608 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 58.

The spelling of 42494936449 in words is "forty-two billion, four hundred ninety-four million, nine hundred thirty-six thousand, four hundred forty-nine".

Divisors: 1 7 49 343 601 2401 4207 16807 29449 117649 206143 361201 1443001 2528407 10101007 17698849 70707049 123891943 867243601 6070705207 42494936449