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42644616006 = 231973127157257
BaseRepresentation
bin100111101101110100…
…010011001101000110
311002001222100221122110
4213231310103031012
51144314010203011
631331330041450
73036526153356
oct475564231506
9132058327573
1042644616006
11170a3857203
128321719286
134037c470c5
1420c7904b66
151198c7bba6
hex9edd13346

42644616006 has 128 divisors (see below), whose sum is σ = 92667985920. Its totient is φ = 13042778112.

The previous prime is 42644615989. The next prime is 42644616019. The reversal of 42644616006 is 60061644624.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 165932230 + ... + 165932486.

It is an arithmetic number, because the mean of its divisors is an integer number (723968640).

Almost surely, 242644616006 is an apocalyptic number.

42644616006 is an abundant number, since it is smaller than the sum of its proper divisors (50023369914).

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

42644616006 is a wasteful number, since it uses less digits than its factorization.

42644616006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 42644616006 in words is "forty-two billion, six hundred forty-four million, six hundred sixteen thousand, six".

Divisors: 1 2 3 6 19 38 57 73 114 127 146 157 219 254 257 314 381 438 471 514 762 771 942 1387 1542 2413 2774 2983 4161 4826 4883 5966 7239 8322 8949 9271 9766 11461 14478 14649 17898 18542 18761 19939 22922 27813 29298 32639 34383 37522 39878 40349 55626 56283 59817 65278 68766 80698 97917 112566 119634 121047 176149 195834 217759 242094 352298 356459 378841 435518 528447 620141 653277 712918 757682 766631 1056894 1069377 1136523 1240282 1306554 1455547 1533262 1860423 2138754 2273046 2299893 2382647 2911094 2945477 3720846 4366641 4599786 4765294 5124323 5890954 7147941 8733282 8836431 10248646 14295882 15372969 17672862 27655393 30745938 45270293 55310786 55964063 82966179 90540586 97362137 111928126 135810879 165932358 167892189 194724274 271621758 292086411 335784378 374075579 584172822 748151158 1122226737 2244453474 7107436001 14214872002 21322308003 42644616006