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1990087107840 = 28355132172131
BaseRepresentation
bin11100111101011010011…
…011110110010100000000
321001020202120222202100000
4130331122123312110000
5230101144244422330
64122122225200000
7263531133211566
oct34753233662400
97036676882300
101990087107840
116a7a9a322227
12281838190000
13115883925600
146c46c123a36
1536b77ac9560
hex1cf5a6f6500

1990087107840 has 1944 divisors, whose sum is σ = 8276313453408. Its totient is φ = 457532375040.

The previous prime is 1990087107839. The next prime is 1990087107907. The reversal of 1990087107840 is 487017800991.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15191504575 + ... + 15191504705.

Almost surely, 21990087107840 is an apocalyptic number.

1990087107840 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 1990087107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138156726704).

1990087107840 is an abundant number, since it is smaller than the sum of its proper divisors (6286226345568).

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

1990087107840 is a wasteful number, since it uses less digits than its factorization.

1990087107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1990087107840 in words is "one trillion, nine hundred ninety billion, eighty-seven million, one hundred seven thousand, eight hundred forty".