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1990283627520 = 210325472294013
BaseRepresentation
bin11100111101100110001…
…001100000110000000000
321001021021021202222122200
4130331212021200300000
5230102100102040040
64122153525233200
7263536040462346
oct34754611406000
97037237688580
101990283627520
116a8090248391
12281891b62800
131158b5561746
146c48a27b996
1536b89e97630
hex1cf66260c00

1990283627520 has 528 divisors, whose sum is σ = 7075528536960. Its totient is φ = 517052694528.

The previous prime is 1990283627441. The next prime is 1990283627531. The reversal of 1990283627520 is 257263820991.

1990283627520 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 2 + 8 + 3 + 627 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×19902836275202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495957034 + ... + 495961046.

Almost surely, 21990283627520 is an apocalyptic number.

1990283627520 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 1990283627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537764268480).

1990283627520 is an abundant number, since it is smaller than the sum of its proper divisors (5085244909440).

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

1990283627520 is a wasteful number, since it uses less digits than its factorization.

1990283627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1990283627520 in words is "one trillion, nine hundred ninety billion, two hundred eighty-three million, six hundred twenty-seven thousand, five hundred twenty".