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99229410049 = 7211240912
BaseRepresentation
bin101110001101010001…
…0001010001100000001
3100111010110122022120011
41130122202022030001
53111210212110144
6113330234344521
710111666032400
oct1343242121401
9314113568504
1099229410049
11390a0462500
121729388b141
139484c86163
144b3498d637
1528ab771a34
hex171a88a301

99229410049 has 27 divisors (see below), whose sum is σ = 126908767713. Its totient is φ = 77302717800.

The previous prime is 99229410047. The next prime is 99229410067. The reversal of 99229410049 is 94001492299.

It is a happy number.

The square root of 99229410049 is 315007.

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

It is not a de Polignac number, because 99229410049 - 21 = 99229410047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 99229409984 and 99229410011.

It is not an unprimeable number, because it can be changed into a prime (99229410047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24253494 + ... + 24257584.

Almost surely, 299229410049 is an apocalyptic number.

99229410049 is the 315007-th square number.

99229410049 is the 157504-th centered octagonal number.

It is an amenable number.

99229410049 is a deficient number, since it is larger than the sum of its proper divisors (27679357664).

99229410049 is an frugal number, since it uses more digits than its factorization.

99229410049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8218 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 99229410049 by its sum of digits (49), we get a square (4862241092401 = 22050492).

99229410049 divided by its sum of digits (49) gives a square (2025090001 = 450012).

The spelling of 99229410049 in words is "ninety-nine billion, two hundred twenty-nine million, four hundred ten thousand, forty-nine".

Divisors: 1 7 11 49 77 121 539 847 4091 5929 28637 45001 200459 315007 495011 2205049 3465077 16736281 24255539 117153967 184099091 820077769 1288693637 2025090001 9020855459 14175630007 99229410049