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4812631340 = 2251171308107
BaseRepresentation
bin1000111101101101…
…01110110100101100
3110102101211000002012
410132312232310230
534324013200330
62113315220352
7230155456106
oct43666566454
913371730065
104812631340
11204a672180
12b238a76b8
135b90a7a6a
1433924a576
151d2794c95
hex11edaed2c

4812631340 has 48 divisors (see below), whose sum is σ = 11180623104. Its totient is φ = 1725393600.

The previous prime is 4812631289. The next prime is 4812631399. The reversal of 4812631340 is 431362184.

It is a super-3 number, since 3×48126313403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4812631297 and 4812631306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138434 + ... + 169673.

It is an arithmetic number, because the mean of its divisors is an integer number (232929648).

Almost surely, 24812631340 is an apocalyptic number.

It is an amenable number.

4812631340 is an abundant number, since it is smaller than the sum of its proper divisors (6367991764).

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

4812631340 is a wasteful number, since it uses less digits than its factorization.

4812631340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308198 (or 308196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 4812631340 is about 69373.1312541102. The cubic root of 4812631340 is about 1688.3437129980.

The spelling of 4812631340 in words is "four billion, eight hundred twelve million, six hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 308107 616214 1232428 1540535 3081070 3389177 6162140 6778354 13556708 16945885 21875597 33891770 43751194 67783540 87502388 109377985 218755970 240631567 437511940 481263134 962526268 1203157835 2406315670 4812631340