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2675613440 = 28519110017
BaseRepresentation
bin1001111101111010…
…1001111100000000
320220110122020122002
42133132221330000
520434424112230
61121255403132
7123206224163
oct23736517400
96813566562
102675613440
11115334aa85
126280834a8
13338428826
141b54c5ada
15109d69545
hex9f7a9f00

2675613440 has 72 divisors (see below), whose sum is σ = 6746303760. Its totient is φ = 1013907456.

The previous prime is 2675613439. The next prime is 2675613461. The reversal of 2675613440 is 443165762.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2675613394 and 2675613403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30689 + ... + 79328.

Almost surely, 22675613440 is an apocalyptic number.

2675613440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2675613440 is an abundant number, since it is smaller than the sum of its proper divisors (4070690320).

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

2675613440 is a wasteful number, since it uses less digits than its factorization.

2675613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110057 (or 110043 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 2675613440 is about 51726.3321723085. The cubic root of 2675613440 is about 1388.2716540938.

The spelling of 2675613440 in words is "two billion, six hundred seventy-five million, six hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 110017 220034 440068 550085 880136 1100170 1760272 2090323 2200340 3520544 4180646 4400680 7041088 8361292 8801360 10451615 14082176 16722584 17602720 20903230 28164352 33445168 35205440 41806460 66890336 70410880 83612920 133780672 140821760 167225840 267561344 334451680 535122688 668903360 1337806720 2675613440