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42018848001 = 3213359135453
BaseRepresentation
bin100111001000100001…
…001011110100000001
311000110100212122022200
4213020201023310001
51142023311114001
631145253423413
73015160213014
oct471041136401
9130410778280
1042018848001
11169025a9469
12818803ab69
133c683c8890
14206877137b
15115dd6e086
hex9c884bd01

42018848001 has 12 divisors (see below), whose sum is σ = 65362652628. Its totient is φ = 25857752544.

The previous prime is 42018847999. The next prime is 42018848057. The reversal of 42018848001 is 10084881024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5757167376 + 36261680625 = 75876^2 + 190425^2 .

It is not a de Polignac number, because 42018848001 - 21 = 42018847999 is a prime.

It is a super-2 number, since 2×420188480012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42018843001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179567610 + ... + 179567843.

It is an arithmetic number, because the mean of its divisors is an integer number (5446887719).

Almost surely, 242018848001 is an apocalyptic number.

It is an amenable number.

42018848001 is a deficient number, since it is larger than the sum of its proper divisors (23343804627).

42018848001 is a wasteful number, since it uses less digits than its factorization.

42018848001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359135472 (or 359135469 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 42018848001 in words is "forty-two billion, eighteen million, eight hundred forty-eight thousand, one".

Divisors: 1 3 9 13 39 117 359135453 1077406359 3232219077 4668760889 14006282667 42018848001