Search a number
-
+
1988848920240 = 2433571319372389
BaseRepresentation
bin11100111100010000101…
…000100010011010110000
321001010120022010022021000
4130330100220202122300
5230041130310421430
64121355314402000
7263455346614320
oct34742050423260
97033508108230
101988848920240
116a7514403596
12281551590300
13115717250520
146c3918d3280
1536b04048e60
hex1cf10a226b0

1988848920240 has 1920 divisors, whose sum is σ = 9144914688000. Its totient is φ = 385801076736.

The previous prime is 1988848920229. The next prime is 1988848920241. The reversal of 1988848920240 is 420298488891.

1988848920240 is a `hidden beast` number, since 1 + 98 + 8 + 8 + 489 + 20 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1988848920241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5112721966 + ... + 5112722354.

It is an arithmetic number, because the mean of its divisors is an integer number (4762976400).

Almost surely, 21988848920240 is an apocalyptic number.

1988848920240 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 1988848920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572457344000).

1988848920240 is an abundant number, since it is smaller than the sum of its proper divisors (7156065767760).

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

1988848920240 is a wasteful number, since it uses less digits than its factorization.

1988848920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 1988848920240 in words is "one trillion, nine hundred eighty-eight billion, eight hundred forty-eight million, nine hundred twenty thousand, two hundred forty".