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9031982976 = 27332337283
BaseRepresentation
bin10000110100101100…
…10001111110000000
3212022110021021102000
420122112101332000
5121444141423401
64052122424000
7436551405612
oct103226217600
925273237360
109031982976
113915356545
121900962000
13b0c29aa33
1461977cdb2
1537cde8186
hex21a591f80

9031982976 has 384 divisors, whose sum is σ = 28932422400. Its totient is φ = 2768173056.

The previous prime is 9031982933. The next prime is 9031983001. The reversal of 9031982976 is 6792891309.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 108819031 + ... + 108819113.

It is an arithmetic number, because the mean of its divisors is an integer number (75344850).

Almost surely, 29031982976 is an apocalyptic number.

9031982976 is a gapful number since it is divisible by the number (96) 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 9031982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466211200).

9031982976 is an abundant number, since it is smaller than the sum of its proper divisors (19900439424).

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

9031982976 is a wasteful number, since it uses less digits than its factorization.

9031982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9031982976 is about 95036.7453988193. The cubic root of 9031982976 is about 2082.5448830895.

The spelling of 9031982976 in words is "nine billion, thirty-one million, nine hundred eighty-two thousand, nine hundred seventy-six".