Search a number
-
+
275936003540 = 22517247739793
BaseRepresentation
bin1000000001111110001…
…00010100010111010100
3222101020110021100101222
410000333010110113110
514010104104103130
6330432510105512
725635644221301
oct4007704242724
9871213240358
10275936003540
11a702975361a
124558a4ab298
13200364b6552
14d4d92080a8
15729ec7ace5
hex403f1145d4

275936003540 has 36 divisors (see below), whose sum is σ = 615556903836. Its totient is φ = 103881787392.

The previous prime is 275936003531. The next prime is 275936003549. The reversal of 275936003540 is 45300639572.

275936003540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (275936003531) and next prime (275936003549).

It can be written as a sum of positive squares in 6 ways, for example, as 5856228676 + 270079774864 = 76526^2 + 519692^2 .

It is a super-2 number, since 2×2759360035402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 275936003491 and 275936003500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275936003549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23864117 + ... + 23875676.

Almost surely, 2275936003540 is an apocalyptic number.

275936003540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

275936003540 is an abundant number, since it is smaller than the sum of its proper divisors (339620900296).

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

275936003540 is a wasteful number, since it uses less digits than its factorization.

275936003540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47739836 (or 47739817 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 275936003540 in words is "two hundred seventy-five billion, nine hundred thirty-six million, three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 47739793 95479586 190959172 238698965 477397930 811576481 954795860 1623152962 3246305924 4057882405 8115764810 13796800177 16231529620 27593600354 55187200708 68984000885 137968001770 275936003540