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11379509253 = 327631128621
BaseRepresentation
bin10101001100100010…
…11000100000000101
31002101001112222001200
422212101120200011
5141301123244003
65121102213113
7551665142550
oct124621304005
932331488050
1011379509253
11490a488802
122256b84199
1310c4743338
1479d45d697
154690566a3
hex2a6458805

11379509253 has 24 divisors (see below), whose sum is σ = 18788854656. Its totient is φ = 6501319200.

The previous prime is 11379509177. The next prime is 11379509257. The reversal of 11379509253 is 35290597311.

11379509253 is a `hidden beast` number, since 1 + 137 + 9 + 509 + 2 + 5 + 3 = 666.

It is not a de Polignac number, because 11379509253 - 213 = 11379501061 is a prime.

It is a super-2 number, since 2×113795092532 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11379509199 and 11379509208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11379509257) 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, 383283 + ... + 411903.

It is an arithmetic number, because the mean of its divisors is an integer number (782868944).

Almost surely, 211379509253 is an apocalyptic number.

It is an amenable number.

11379509253 is a deficient number, since it is larger than the sum of its proper divisors (7409345403).

11379509253 is a wasteful number, since it uses less digits than its factorization.

11379509253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34945 (or 34942 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 11379509253 in words is "eleven billion, three hundred seventy-nine million, five hundred nine thousand, two hundred fifty-three".

Divisors: 1 3 7 9 21 63 6311 18933 28621 44177 56799 85863 132531 200347 257589 397593 601041 1803123 180627131 541881393 1264389917 1625644179 3793169751 11379509253