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10009171764 = 2232278032549
BaseRepresentation
bin10010101001001011…
…11101011100110100
3221211120000121102100
421110211331130310
5130444321444024
64333111142100
7503015361534
oct112445753464
927746017370
1010009171764
114276a09989
121b34074930
13c3687c057
146ad46d4c4
153d8ac07c9
hex25497d734

10009171764 has 18 divisors (see below), whose sum is σ = 25300962050. Its totient is φ = 3336390576.

The previous prime is 10009171729. The next prime is 10009171769. The reversal of 10009171764 is 46717190001.

It can be written as a sum of positive squares in only one way, i.e., 8530000164 + 1479171600 = 92358^2 + 38460^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 278032549 = 10009171764 / (1 + 0 + 0 + 0 + 9 + 1 + 7 + 1 + 7 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009171769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139016239 + ... + 139016310.

Almost surely, 210009171764 is an apocalyptic number.

It is an amenable number.

10009171764 is an abundant number, since it is smaller than the sum of its proper divisors (15291790286).

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

10009171764 is a wasteful number, since it uses less digits than its factorization.

10009171764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278032559 (or 278032554 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 10009171764 in words is "ten billion, nine million, one hundred seventy-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 278032549 556065098 834097647 1112130196 1668195294 2502292941 3336390588 5004585882 10009171764