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1998892896 = 2537112133161
BaseRepresentation
bin111011100100100…
…1010111101100000
312011022021021120020
41313021022331200
513043204033041
6530203113440
7100351211040
oct16711127540
95138237506
101998892896
11936360900
12479512880
1325b17a480
1414d68b720
15ba744866
hex7724af60

1998892896 has 576 divisors, whose sum is σ = 7447523328. Its totient is φ = 456192000.

The previous prime is 1998892879. The next prime is 1998892937. The reversal of 1998892896 is 6982988991.

1998892896 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (40310784) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1998892896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32768706 + ... + 32768766.

It is an arithmetic number, because the mean of its divisors is an integer number (12929728).

Almost surely, 21998892896 is an apocalyptic number.

1998892896 is a gapful number since it is divisible by the number (16) 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 1998892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723761664).

1998892896 is an abundant number, since it is smaller than the sum of its proper divisors (5448630432).

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

1998892896 is a wasteful number, since it uses less digits than its factorization.

1998892896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 69.

The square root of 1998892896 is about 44708.9800375719. The cubic root of 1998892896 is about 1259.6885297133.

The spelling of 1998892896 in words is "one billion, nine hundred ninety-eight million, eight hundred ninety-two thousand, eight hundred ninety-six".