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8128312380 = 2232581155681
BaseRepresentation
bin1111001000111110…
…00011010000111100
3202222110212001101200
413210133003100330
5113121321444010
63422321535500
7405266341506
oct74437032074
922873761350
108128312380
1134a1247441
1216aa1a4590
139c6cba6c6
14571748d76
153288e3cc0
hex1e47c343c

8128312380 has 72 divisors (see below), whose sum is σ = 24686726064. Its totient is φ = 2164838400.

The previous prime is 8128312331. The next prime is 8128312421. The reversal of 8128312380 is 832138218.

It is a super-2 number, since 2×81283123802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 118140 + ... + 173820.

Almost surely, 28128312380 is an apocalyptic number.

It is an amenable number.

8128312380 is an abundant number, since it is smaller than the sum of its proper divisors (16558413684).

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

8128312380 is a wasteful number, since it uses less digits than its factorization.

8128312380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56507 (or 56502 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8128312380 is about 90157.1537926969. The cubic root of 8128312380 is about 2010.6360354414.

The spelling of 8128312380 in words is "eight billion, one hundred twenty-eight million, three hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 811 1622 2433 3244 4055 4866 7299 8110 9732 12165 14598 16220 24330 29196 36495 48660 55681 72990 111362 145980 167043 222724 278405 334086 501129 556810 668172 835215 1002258 1113620 1670430 2004516 2505645 3340860 5011290 10022580 45157291 90314582 135471873 180629164 225786455 270943746 406415619 451572910 541887492 677359365 812831238 903145820 1354718730 1625662476 2032078095 2709437460 4064156190 8128312380