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10626721460 = 2251031351521
BaseRepresentation
bin10011110010110011…
…01110011010110100
31000102121001101100022
421321121232122310
5133230420041320
64514251304312
7524224433135
oct117131563264
930377041308
1010626721460
114563564133
122086a4b098
1310047b0984
1472b4a3c8c
15422e08325
hex27966e6b4

10626721460 has 24 divisors (see below), whose sum is σ = 22318712136. Its totient is φ = 4250193920.

The previous prime is 10626721423. The next prime is 10626721463. The reversal of 10626721460 is 6412762601.

It can be written as a sum of positive squares in 4 ways, for example, as 133587364 + 10493134096 = 11558^2 + 102436^2 .

It is a super-2 number, since 2×106267214602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10626721460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10626721463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180500 + ... + 232020.

It is an arithmetic number, because the mean of its divisors is an integer number (929946339).

Almost surely, 210626721460 is an apocalyptic number.

10626721460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10626721460 is an abundant number, since it is smaller than the sum of its proper divisors (11691990676).

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

10626721460 is a wasteful number, since it uses less digits than its factorization.

10626721460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61843 (or 61841 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 10626721460 in words is "ten billion, six hundred twenty-six million, seven hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 10313 20626 41252 51521 51565 103042 103130 206084 206260 257605 515210 1030420 531336073 1062672146 2125344292 2656680365 5313360730 10626721460