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42728226588 = 223241471514079
BaseRepresentation
bin100111110010110011…
…001111111100011100
311002021210200210210200
4213302303033330130
51200001411222323
631343514103500
73041562635115
oct476263177434
9132253623720
1042728226588
1117136a74063
12834571ab90
13404c36ca18
1420d4a6b20c
1511a1295443
hex9f2ccff1c

42728226588 has 144 divisors (see below), whose sum is σ = 113772072960. Its totient is φ = 13506336000.

The previous prime is 42728226539. The next prime is 42728226599. The reversal of 42728226588 is 88562282724.

42728226588 is a `hidden beast` number, since 4 + 27 + 282 + 265 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10473133 + ... + 10477211.

It is an arithmetic number, because the mean of its divisors is an integer number (790083840).

Almost surely, 242728226588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42728226588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56886036480).

42728226588 is an abundant number, since it is smaller than the sum of its proper divisors (71043846372).

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

42728226588 is a wasteful number, since it uses less digits than its factorization.

42728226588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4323 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 42728226588 in words is "forty-two billion, seven hundred twenty-eight million, two hundred twenty-six thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 151 164 188 246 282 302 369 423 453 492 564 604 738 846 906 1359 1476 1692 1812 1927 2718 3854 4079 5436 5781 6191 7097 7708 8158 11562 12237 12382 14194 16316 17343 18573 21291 23124 24474 24764 28388 34686 36711 37146 42582 48948 55719 63873 69372 73422 74292 85164 111438 127746 146844 167239 191713 222876 255492 290977 334478 383426 501717 575139 581954 615929 668956 766852 872931 1003434 1150278 1163908 1231858 1505151 1725417 1745862 1847787 2006868 2300556 2463716 2618793 3010302 3450834 3491724 3695574 5237586 5543361 6020604 6901668 7391148 7860233 10475172 11086722 15720466 22173444 23580699 25253089 28948663 31440932 47161398 50506178 57897326 70742097 75759267 86845989 94322796 101012356 115794652 141484194 151518534 173691978 227277801 260537967 282968388 303037068 347383956 454555602 521075934 909111204 1042151868 1186895183 2373790366 3560685549 4747580732 7121371098 10682056647 14242742196 21364113294 42728226588