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995163840 = 263351137283
BaseRepresentation
bin111011010100001…
…111111011000000
32120100120120011000
4323110033323000
54014230220330
6242425452000
733442516206
oct7324177300
92510516130
10995163840
11470820360
12239341000
1312b235b58
149624d076
155c578560
hex3b50fec0

995163840 has 448 divisors, whose sum is σ = 3947281920. Its totient is φ = 233902080.

The previous prime is 995163769. The next prime is 995163847. The reversal of 995163840 is 48361599.

It is a happy number.

995163840 is a `hidden beast` number, since 9 + 9 + 5 + 1 + 638 + 4 + 0 = 666.

It is a super-3 number, since 3×9951638403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (995163847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3516339 + ... + 3516621.

Almost surely, 2995163840 is an apocalyptic number.

995163840 is a gapful number since it is divisible by the number (90) 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 995163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973640960).

995163840 is an abundant number, since it is smaller than the sum of its proper divisors (2952118080).

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

995163840 is a wasteful number, since it uses less digits than its factorization.

995163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 995163840 is about 31546.2175228664. The cubic root of 995163840 is about 998.3853409460.

The spelling of 995163840 in words is "nine hundred ninety-five million, one hundred sixty-three thousand, eight hundred forty".