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42786215460 = 223252930726699
BaseRepresentation
bin100111110110010000…
…011101011000100100
311002102211210221120200
4213312100131120210
51200111232343320
631353345030500
73043165554642
oct476620353044
9132384727520
1042786215460
1117166780a4a
128361025430
13405b394471
1420dc644192
1511a63ec290
hex9f641d624

42786215460 has 144 divisors (see below), whose sum is σ = 134702568000. Its totient is φ = 10979926272.

The previous prime is 42786215453. The next prime is 42786215491. The reversal of 42786215460 is 6451268724.

42786215460 is a `hidden beast` number, since 4 + 2 + 7 + 86 + 21 + 546 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1589191 + ... + 1615889.

It is an arithmetic number, because the mean of its divisors is an integer number (935434500).

Almost surely, 242786215460 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 42786215460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67351284000).

42786215460 is an abundant number, since it is smaller than the sum of its proper divisors (91916352540).

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

42786215460 is a wasteful number, since it uses less digits than its factorization.

42786215460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27050 (or 27045 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42786215460 in words is "forty-two billion, seven hundred eighty-six million, two hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 307 348 435 522 580 614 870 921 1044 1228 1305 1535 1740 1842 2610 2763 3070 3684 4605 5220 5526 6140 8903 9210 11052 13815 17806 18420 26699 26709 27630 35612 44515 53398 53418 55260 80097 80127 89030 106796 106836 133495 133545 160194 160254 178060 240291 266990 267090 320388 320508 400485 400635 480582 533980 534180 774271 800970 801270 961164 1201455 1548542 1601940 1602540 2322813 2402910 3097084 3871355 4645626 4805820 6968439 7742710 8196593 9291252 11614065 13936878 15485420 16393186 23228130 24589779 27873756 32786372 34842195 40982965 46456260 49179558 69684390 73769337 81965930 98359116 122948895 139368780 147538674 163931860 237701197 245897790 295077348 368846685 475402394 491795580 713103591 737693370 950804788 1188505985 1426207182 1475386740 2139310773 2377011970 2852414364 3565517955 4278621546 4754023940 7131035910 8557243092 10696553865 14262071820 21393107730 42786215460