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9801631008 = 2532132617957
BaseRepresentation
bin10010010000011100…
…10000010100100000
3221022002111110000200
421020032100110200
5130033204143013
64300334545200
7464615326461
oct111016202440
927262443020
109801631008
11417a8464a4
121a96668200
13c02884680
1468da86d68
153c5776e73
hex248390520

9801631008 has 72 divisors (see below), whose sum is σ = 30017506428. Its totient is φ = 3015885312.

The previous prime is 9801630989. The next prime is 9801631013. The reversal of 9801631008 is 8001361089.

It can be written as a sum of positive squares in 2 ways, for example, as 9774881424 + 26749584 = 98868^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305235 + ... + 1312722.

Almost surely, 29801631008 is an apocalyptic number.

It is an amenable number.

9801631008 is an abundant number, since it is smaller than the sum of its proper divisors (20215875420).

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

9801631008 is a wasteful number, since it uses less digits than its factorization.

9801631008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617986 (or 2617975 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 9801631008 is about 99003.1868577977. The cubic root of 9801631008 is about 2140.0936727856.

The spelling of 9801631008 in words is "nine billion, eight hundred one million, six hundred thirty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 2617957 5235914 7853871 10471828 15707742 20943656 23561613 31415484 34033441 41887312 47123226 62830968 68066882 83774624 94246452 102100323 125661936 136133764 188492904 204200646 251323872 272267528 306300969 376985808 408401292 544535056 612601938 753971616 816802584 1089070112 1225203876 1633605168 2450407752 3267210336 4900815504 9801631008