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1988499960 = 23325233161127
BaseRepresentation
bin111011010000110…
…0001100111111000
312010120201021010200
41312201201213320
513033023444320
6525152242200
7100163653656
oct16641414770
95116637120
101988499960
119305024a7
12475b40360
13258c7bac5
1414c143dd6
15b9890290
hex768619f8

1988499960 has 384 divisors, whose sum is σ = 7130972160. Its totient is φ = 479001600.

The previous prime is 1988499943. The next prime is 1988500001. The reversal of 1988499960 is 699948891.

1988499960 is a `hidden beast` number, since 1 + 9 + 88 + 499 + 9 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15657417 + ... + 15657543.

It is an arithmetic number, because the mean of its divisors is an integer number (18570240).

Almost surely, 21988499960 is an apocalyptic number.

1988499960 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 1988499960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565486080).

1988499960 is an abundant number, since it is smaller than the sum of its proper divisors (5142472200).

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

1988499960 is a wasteful number, since it uses less digits than its factorization.

1988499960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The square root of 1988499960 is about 44592.5998345017. The cubic root of 1988499960 is about 1257.5015494818.

The spelling of 1988499960 in words is "one billion, nine hundred eighty-eight million, four hundred ninety-nine thousand, nine hundred sixty".