Search a number
-
+
10427268996 = 2236312612
BaseRepresentation
bin10011011011000001…
…10111111110000100
3222220200202011000000
421231200313332010
5132323340101441
64442404321300
7516253216104
oct115540677604
928820664000
1010427268996
114470a15591
1220300a3230
13ca2388971
1470cbc5204
1541065b2b6
hex26d837f84

10427268996 has 189 divisors, whose sum is σ = 28741126869. Its totient is φ = 3308493600.

The previous prime is 10427268949. The next prime is 10427269019. The reversal of 10427268996 is 69986272401.

The square root of 10427268996 is 102114.

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., 339075396 + 10088193600 = 18414^2 + 100440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 170938806 + ... + 170938866.

Almost surely, 210427268996 is an apocalyptic number.

10427268996 is the 102114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427268996

10427268996 is an abundant number, since it is smaller than the sum of its proper divisors (18313857873).

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

10427268996 is an frugal number, since it uses more digits than its factorization.

10427268996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10427268996 in words is "ten billion, four hundred twenty-seven million, two hundred sixty-eight thousand, nine hundred ninety-six".