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9124988643342 = 237111322516481
BaseRepresentation
bin1000010011001001001110…
…1101001110100000001110
31012022100012010222210000000
42010302103231032200032
52144000434043041332
631223543434545130
71631154503465325
oct204622355164016
935270163883000
109124988643342
1129a8982223890
1210345982981a6
1351263775a710
1423791a7b50bc
1510c5665e3b7c
hex84c93b4e80e

9124988643342 has 256 divisors, whose sum is σ = 24131359687680. Its totient is φ = 2550916800000.

The previous prime is 9124988643301. The next prime is 9124988643371. The reversal of 9124988643342 is 2433468894219.

9124988643342 is a `hidden beast` number, since 9 + 1 + 249 + 8 + 8 + 6 + 43 + 342 = 666.

It is a super-2 number, since 2×91249886433422 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9124988643342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1407956742 + ... + 1407963222.

It is an arithmetic number, because the mean of its divisors is an integer number (94263123780).

Almost surely, 29124988643342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9124988643342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065679843840).

9124988643342 is an abundant number, since it is smaller than the sum of its proper divisors (15006371044338).

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

9124988643342 is a wasteful number, since it uses less digits than its factorization.

9124988643342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779 (or 8761 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 9124988643342 in words is "nine trillion, one hundred twenty-four billion, nine hundred eighty-eight million, six hundred forty-three thousand, three hundred forty-two".