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9897863976 = 233272111323853
BaseRepresentation
bin10010011011111010…
…10110101100101000
3221112210120120211200
421031331112230220
5130232323121401
64314053324200
7500164312200
oct111575265450
927483516750
109897863976
11421a0a4780
121b02936660
13c197a9660
1469c777400
153cde35686
hex24df56b28

9897863976 has 576 divisors, whose sum is σ = 38272590720. Its totient is φ = 2267274240.

The previous prime is 9897863957. The next prime is 9897863977. The reversal of 9897863976 is 6793687989.

It is a super-2 number, since 2×98978639762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9897863977) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11603166 + ... + 11604018.

It is an arithmetic number, because the mean of its divisors is an integer number (66445470).

Almost surely, 29897863976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9897863976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136295360).

9897863976 is an abundant number, since it is smaller than the sum of its proper divisors (28374726744).

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

9897863976 is a wasteful number, since it uses less digits than its factorization.

9897863976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 912 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The square root of 9897863976 is about 99488.0092071401. The cubic root of 9897863976 is about 2147.0747291893.

The spelling of 9897863976 in words is "nine billion, eight hundred ninety-seven million, eight hundred sixty-three thousand, nine hundred seventy-six".