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4672884906 = 2324373191433
BaseRepresentation
bin1000101101000011…
…01001000010101010
3110001122212011000100
410112201221002222
534032224304111
62051404050230
7223540603104
oct42641510252
913048764010
104672884906
111a887a3658
12aa4b33976
13596158c71
14324870574
151c538d756
hex1168690aa

4672884906 has 96 divisors (see below), whose sum is σ = 10581322752. Its totient is φ = 1489259520.

The previous prime is 4672884899. The next prime is 4672884929. The reversal of 4672884906 is 6094882764.

4672884906 is a `hidden beast` number, since 4 + 6 + 72 + 88 + 490 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10791666 + ... + 10792098.

It is an arithmetic number, because the mean of its divisors is an integer number (110222112).

Almost surely, 24672884906 is an apocalyptic number.

4672884906 is an abundant number, since it is smaller than the sum of its proper divisors (5908437846).

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

4672884906 is a wasteful number, since it uses less digits than its factorization.

4672884906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4672884906 is about 68358.5028068930. The cubic root of 4672884906 is about 1671.8412176181.

The spelling of 4672884906 in words is "four billion, six hundred seventy-two million, eight hundred eighty-four thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 43 73 86 129 146 191 219 258 382 387 433 438 573 657 774 866 1146 1299 1314 1719 2598 3139 3438 3897 6278 7794 8213 9417 13943 16426 18619 18834 24639 27886 28251 31609 37238 41829 49278 55857 56502 63218 73917 82703 83658 94827 111714 125487 147834 165406 167571 189654 248109 250974 284481 335142 496218 568962 599549 744327 1199098 1359187 1488654 1798647 2718374 3556229 3597294 4077561 5395941 6037319 7112458 8155122 10668687 10791882 12074638 12232683 18111957 21337374 24465366 32006061 36223914 54335871 64012122 108671742 259604717 519209434 778814151 1557628302 2336442453 4672884906