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11274842376 = 2332723195817
BaseRepresentation
bin10101000000000100…
…00111000100001000
31002002202121100002200
422200002013010020
5141042324424001
65102443000200
7546254402400
oct124002070410
932082540080
1011274842376
114866399a56
122227b09060
1310a8b57585
1478d5b5800
1545ec7e086
hex2a0087108

11274842376 has 72 divisors (see below), whose sum is σ = 35521517070. Its totient is φ = 3221382528.

The previous prime is 11274842333. The next prime is 11274842377. The reversal of 11274842376 is 67324847211.

11274842376 is a `hidden beast` number, since 1 + 1 + 274 + 8 + 4 + 2 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6742052100 + 4532790276 = 82110^2 + 67326^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (11274842377) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1594381 + ... + 1601436.

Almost surely, 211274842376 is an apocalyptic number.

It is an amenable number.

11274842376 is an abundant number, since it is smaller than the sum of its proper divisors (24246674694).

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

11274842376 is a wasteful number, since it uses less digits than its factorization.

11274842376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195843 (or 3195829 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 11274842376 in words is "eleven billion, two hundred seventy-four million, eight hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 3195817 6391634 9587451 12783268 19174902 22370719 25566536 28762353 38349804 44741438 57524706 67112157 76699608 89482876 115049412 134224314 156595033 178965752 201336471 230098824 268448628 313190066 402672942 469785099 536897256 626380132 805345884 939570198 1252760264 1409355297 1610691768 1879140396 2818710594 3758280792 5637421188 11274842376