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9900000042 = 2363111172341
BaseRepresentation
bin10010011100001011…
…00000001100101010
3221112221121002222020
421032011200030222
5130233400000132
64314211205310
7500221416612
oct111605401452
927487532866
109900000042
114220323619
121b035a6836
13c1a0769ba
1469cb71a42
153ce20852c
hex24e16032a

9900000042 has 32 divisors (see below), whose sum is σ = 19857611904. Its totient is φ = 3290414400.

The previous prime is 9900000029. The next prime is 9900000043. The reversal of 9900000042 is 2400000099.

It is a junction number, because it is equal to n+sod(n) for n = 9899999958 and 9900000021.

It is not an unprimeable number, because it can be changed into a prime (9900000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4227792 + ... + 4230132.

It is an arithmetic number, because the mean of its divisors is an integer number (620550372).

Almost surely, 29900000042 is an apocalyptic number.

9900000042 is an abundant number, since it is smaller than the sum of its proper divisors (9957611862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9900000042 is a wasteful number, since it uses less digits than its factorization.

9900000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 9900000042 is about 99498.7439217199. The cubic root of 9900000042 is about 2147.2291720554.

The spelling of 9900000042 in words is "nine billion, nine hundred million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 631 1117 1262 1893 2234 2341 3351 3786 4682 6702 7023 14046 704827 1409654 1477171 2114481 2614897 2954342 4228962 4431513 5229794 7844691 8863026 15689382 1650000007 3300000014 4950000021 9900000042