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1997852688 = 24351329247
BaseRepresentation
bin111011100010100…
…1101000000010000
312011020022102200000
41313011031000100
513042422241223
6530124530000
7100336316256
oct16705150020
95136272600
101997852688
11935810327
124790b0900
1325aba4b70
1414d49a5d6
15ba5db543
hex7714d010

1997852688 has 360 divisors, whose sum is σ = 6604660608. Its totient is φ = 580898304.

The previous prime is 1997852683. The next prime is 1997852693. The reversal of 1997852688 is 8862587991.

It is a happy number.

1997852688 is a `hidden beast` number, since 19 + 97 + 8 + 526 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1997852683) and next prime (1997852693).

It is not an unprimeable number, because it can be changed into a prime (1997852683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42507481 + ... + 42507527.

Almost surely, 21997852688 is an apocalyptic number.

1997852688 is a gapful number since it is divisible by the number (18) 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 1997852688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302330304).

1997852688 is an abundant number, since it is smaller than the sum of its proper divisors (4606807920).

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

1997852688 is a wasteful number, since it uses less digits than its factorization.

1997852688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The square root of 1997852688 is about 44697.3454245328. The cubic root of 1997852688 is about 1259.4699811605.

The spelling of 1997852688 in words is "one billion, nine hundred ninety-seven million, eight hundred fifty-two thousand, six hundred eighty-eight".