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10266000928 = 252911062501
BaseRepresentation
bin10011000111110011…
…01011111000100000
3222111110021212210121
421203321223320200
5132011044012203
64414404010024
7512254365601
oct114371537040
928443255717
1010266000928
114398987497
121ba6090914
13c77b42c81
146d5605da8
154014030bd
hex263e6be20

10266000928 has 24 divisors (see below), whose sum is σ = 20908128780. Its totient is φ = 4956000000.

The previous prime is 10266000923. The next prime is 10266000949. The reversal of 10266000928 is 82900066201.

It is a happy number.

10266000928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8706382864 + 1559618064 = 93308^2 + 39492^2 .

It is a super-2 number, since 2×102660009282 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10266000893 and 10266000902.

It is not an unprimeable number, because it can be changed into a prime (10266000923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5530323 + ... + 5532178.

Almost surely, 210266000928 is an apocalyptic number.

10266000928 is the 54159-th centered heptagonal number.

It is an amenable number.

10266000928 is an abundant number, since it is smaller than the sum of its proper divisors (10642127852).

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

10266000928 is a wasteful number, since it uses less digits than its factorization.

10266000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062540 (or 11062532 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 10266000928 in words is "ten billion, two hundred sixty-six million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 11062501 22125002 44250004 88500008 177000016 320812529 354000032 641625058 1283250116 2566500232 5133000464 10266000928