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10888713801 = 327249692
BaseRepresentation
bin10100010010000010…
…01001011001001001
31001002212000222021100
422021001021121021
5134300002320201
65000250532013
7533555353200
oct121101113111
931085028240
1010888713801
114688438929
12213a737009
131046b61a24
147541c2237
1543ae0a886
hex289049649

10888713801 has 27 divisors (see below), whose sum is σ = 18299684871. Its totient is φ = 6220869984.

The previous prime is 10888713791. The next prime is 10888713821. The reversal of 10888713801 is 10831788801.

The square root of 10888713801 is 104349.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2195016201 + 8693697600 = 46851^2 + 93240^2 .

It is a de Polignac number, because none of the positive numbers 2k-10888713801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10888713821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2188845 + ... + 2193813.

Almost surely, 210888713801 is an apocalyptic number.

10888713801 is the 104349-th square number.

10888713801 is the 52175-th centered octagonal number.

It is an amenable number.

10888713801 is a deficient number, since it is larger than the sum of its proper divisors (7410971070).

10888713801 is an frugal number, since it uses more digits than its factorization.

10888713801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 10888713801 in words is "ten billion, eight hundred eighty-eight million, seven hundred thirteen thousand, eight hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 4969 14907 34783 44721 104349 243481 313047 730443 2191329 24690961 74072883 172836727 222218649 518510181 1209857089 1555530543 3629571267 10888713801