Search a number
-
+
1988435232000 = 28325373131817
BaseRepresentation
bin11100111011110111111…
…110011100010100000000
321001002111110200202200100
4130323313332130110000
5230034303404411000
64121250255522400
7263442164412210
oct34736776342400
97032443622610
101988435232000
116a7321939488
12281456b29400
1311567c628699
146c3529a8240
1536acca7ea00
hex1cef7f9c500

1988435232000 has 864 divisors, whose sum is σ = 8441151473664. Its totient is φ = 439824384000.

The previous prime is 1988435231983. The next prime is 1988435232023. The reversal of 1988435232000 is 2325348891.

1988435232000 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 435 + 2 + 3 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62480092 + ... + 62511908.

Almost surely, 21988435232000 is an apocalyptic number.

1988435232000 is a gapful number since it is divisible by the number (10) 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 1988435232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220575736832).

1988435232000 is an abundant number, since it is smaller than the sum of its proper divisors (6452716241664).

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

1988435232000 is a wasteful number, since it uses less digits than its factorization.

1988435232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31892 (or 31865 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1988435232000 in words is "one trillion, nine hundred eighty-eight billion, four hundred thirty-five million, two hundred thirty-two thousand".