Search a number
-
+
10274251905 = 325269848761
BaseRepresentation
bin10011001000110010…
…01010010010000001
3222112000211002000100
421210121022102001
5132020202030110
64415300513013
7512414462121
oct114431122201
928460732010
1010274251905
1143a2602585
121ba89ab769
13c797716c8
146d6752c81
15401ed2bc0
hex26464a481

10274251905 has 24 divisors (see below), whose sum is σ = 17874927720. Its totient is φ = 5459224320.

The previous prime is 10274251901. The next prime is 10274251969. The reversal of 10274251905 is 50915247201.

It can be written as a sum of positive squares in 4 ways, for example, as 293642496 + 9980609409 = 17136^2 + 99903^2 .

It is not a de Polignac number, because 10274251905 - 22 = 10274251901 is a prime.

It is a super-2 number, since 2×102742519052 (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 10274251905.

It is not an unprimeable number, because it can be changed into a prime (10274251901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412276 + ... + 436485.

It is an arithmetic number, because the mean of its divisors is an integer number (744788655).

Almost surely, 210274251905 is an apocalyptic number.

10274251905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10274251905 is a deficient number, since it is larger than the sum of its proper divisors (7600675815).

10274251905 is a wasteful number, since it uses less digits than its factorization.

10274251905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849041 (or 849038 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10274251905 in words is "ten billion, two hundred seventy-four million, two hundred fifty-one thousand, nine hundred five".

Divisors: 1 3 5 9 15 45 269 807 1345 2421 4035 12105 848761 2546283 4243805 7638849 12731415 38194245 228316709 684950127 1141583545 2054850381 3424750635 10274251905