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11163414132 = 223213193123593
BaseRepresentation
bin10100110010110010…
…00010111001110100
31001210222221012021200
422121121002321310
5140330313223012
65043422412500
7543432311613
oct123131027164
931728835250
1011163414132
1148095022a2
1221b6731130
13108ba420c0
1477c88b87a
154550bd3dc
hex299642e74

11163414132 has 72 divisors (see below), whose sum is σ = 30546998664. Its totient is φ = 3417071616.

The previous prime is 11163414127. The next prime is 11163414137. The reversal of 11163414132 is 23141436111.

11163414132 is a `hidden beast` number, since 1 + 1 + 1 + 634 + 14 + 13 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11163414127) and next prime (11163414137).

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 11162767716 = 804^2 + 105654^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11163414096 and 11163414105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11163414137) 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, 28528 + ... + 152120.

Almost surely, 211163414132 is an apocalyptic number.

11163414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11163414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273499332).

11163414132 is an abundant number, since it is smaller than the sum of its proper divisors (19383584532).

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

11163414132 is a wasteful number, since it uses less digits than its factorization.

11163414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123809 (or 123804 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The spelling of 11163414132 in words is "eleven billion, one hundred sixty-three million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 234 386 468 579 772 1158 1737 2316 2509 3474 5018 6948 7527 10036 15054 22581 30108 45162 90324 123593 247186 370779 494372 741558 1112337 1483116 1606709 2224674 3213418 4449348 4820127 6426836 9640254 14460381 19280508 23853449 28920762 47706898 57841524 71560347 95413796 143120694 214681041 286241388 310094837 429362082 620189674 858724164 930284511 1240379348 1860569022 2790853533 3721138044 5581707066 11163414132