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10272076308 = 22321337593213
BaseRepresentation
bin10011001000100001…
…10111001000010100
3222111212201112122200
421210100313020110
5132014122420213
64415142124500
7512360131224
oct114420671024
928455645580
1010272076308
1143a1356a6a
121ba8120730
13c7918c380
146d6348084
15401c03273
hex264437214

10272076308 has 72 divisors (see below), whose sum is σ = 28718676168. Its totient is φ = 3075211008.

The previous prime is 10272076307. The next prime is 10272076337. The reversal of 10272076308 is 80367027201.

10272076308 is a `hidden beast` number, since 10 + 2 + 7 + 2 + 0 + 7 + 630 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3587051664 + 6685024644 = 59892^2 + 81762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272076303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279291 + ... + 313922.

Almost surely, 210272076308 is an apocalyptic number.

10272076308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10272076308 is an abundant number, since it is smaller than the sum of its proper divisors (18446599860).

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

10272076308 is a wasteful number, since it uses less digits than its factorization.

10272076308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593273 (or 593268 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10272076308 in words is "ten billion, two hundred seventy-two million, seventy-six thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8658 17316 593213 1186426 1779639 2372852 3559278 5338917 7118556 7711769 10677834 15423538 21355668 21948881 23135307 30847076 43897762 46270614 65846643 69405921 87795524 92541228 131693286 138811842 197539929 263386572 277623684 285335453 395079858 570670906 790159716 856006359 1141341812 1712012718 2568019077 3424025436 5136038154 10272076308