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16242073848 = 2332711131929409
BaseRepresentation
bin11110010000001101…
…00110000011111000
31112220221022211200200
433020012212003320
5231230432330343
611243404002200
71113331230660
oct171006460370
945827284620
1016242073848
116985255530
123193530360
1316bac81cb0
14b011871a0
15650db14d3
hex3c81a60f8

16242073848 has 768 divisors, whose sum is σ = 64471680000. Its totient is φ = 3553320960.

The previous prime is 16242073831. The next prime is 16242073849. The reversal of 16242073848 is 84837024261.

It is a happy number.

16242073848 is a `hidden beast` number, since 1 + 62 + 4 + 207 + 384 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16242073849) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39711468 + ... + 39711876.

It is an arithmetic number, because the mean of its divisors is an integer number (83947500).

Almost surely, 216242073848 is an apocalyptic number.

16242073848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16242073848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32235840000).

16242073848 is an abundant number, since it is smaller than the sum of its proper divisors (48229606152).

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

16242073848 is a wasteful number, since it uses less digits than its factorization.

16242073848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 16242073848 in words is "sixteen billion, two hundred forty-two million, seventy-three thousand, eight hundred forty-eight".