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96405903049 = 41275732
BaseRepresentation
bin101100111001000111…
…1010101011011001001
3100012211200201022002211
41121302033111123021
53034414402344144
6112142133025121
76652012440511
oct1316217253311
9305750638084
1096405903049
1137981689945
12168261851a1
139125018461
1449479aa841
152793942034
hex16723d56c9

96405903049 has 9 divisors (see below), whose sum is σ = 98827666869. Its totient is φ = 94042119840.

The previous prime is 96405903031. The next prime is 96405903053. The reversal of 96405903049 is 94030950469.

The square root of 96405903049 is 310493.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2933847225 + 93472055824 = 54165^2 + 305732^2 .

It is not a de Polignac number, because 96405903049 - 25 = 96405903017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96405902993 and 96405903011.

It is not an unprimeable number, because it can be changed into a prime (96405903949) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12726427 + ... + 12733999.

Almost surely, 296405903049 is an apocalyptic number.

96405903049 is the 310493-rd square number.

96405903049 is the 155247-th centered octagonal number.

It is an amenable number.

96405903049 is a deficient number, since it is larger than the sum of its proper divisors (2421763820).

96405903049 is an frugal number, since it uses more digits than its factorization.

96405903049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15228 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

Multiplying 96405903049 by its sum of digits (49), we get a square (4723889249401 = 21734512).

The spelling of 96405903049 in words is "ninety-six billion, four hundred five million, nine hundred three thousand, forty-nine".

Divisors: 1 41 1681 7573 310493 12730213 57350329 2351363489 96405903049