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42700085064 = 2334713724123
BaseRepresentation
bin100111110001000111…
…111001011101001000
311002012211202001220000
4213301013321131020
51144422210210224
631341031003000
73041101506630
oct476107713510
9132184661800
1042700085064
11171220a29aa
128338209460
134046598930
1420d10236c0
15119da870c9
hex9f11f9748

42700085064 has 160 divisors (see below), whose sum is σ = 147199926720. Its totient is φ = 11261545344.

The previous prime is 42700085041. The next prime is 42700085137. The reversal of 42700085064 is 46058000724.

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

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 39 ways as a sum of consecutive naturals, for example, 303094 + ... + 421029.

It is an arithmetic number, because the mean of its divisors is an integer number (919999542).

Almost surely, 242700085064 is an apocalyptic number.

It is an amenable number.

42700085064 is an abundant number, since it is smaller than the sum of its proper divisors (104499841656).

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

42700085064 is a wasteful number, since it uses less digits than its factorization.

42700085064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724161 (or 724148 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 42700085064 its reverse (46058000724), we get a palindrome (88758085788).

The spelling of 42700085064 in words is "forty-two billion, seven hundred million, eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968 724123 1448246 2172369 2896492 4344738 5068861 5792984 6517107 8689476 9413599 10137722 13034214 15206583 17378952 18827198 19551321 20275444 26068428 28240797 30413166 37654396 39102642 40550888 45619749 52136856 56481594 58653963 60826332 65895193 75308792 78205284 84722391 91239498 112963188 117307926 121652664 131790386 136859247 156410568 169444782 182478996 197685579 225926376 234615852 254167173 263580772 273718494 338889564 364957992 395371158 410577741 469231704 508334346 527161544 547436988 593056737 677779128 762501519 790742316 821155482 1016668692 1094873976 1186113474 1525003038 1581484632 1642310964 1779170211 2033337384 2372226948 3050006076 3284621928 3558340422 4744453896 5337510633 6100012152 7116680844 10675021266 14233361688 21350042532 42700085064