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42487091730 = 23351741225767
BaseRepresentation
bin100111100100011011…
…011001001000010010
311001122222221212222000
4213210123121020102
51144003143413410
631303541454430
73032604215046
oct474433311022
9131588855860
1042487091730
1117022945956
128298a11416
134011412485
1420b0a1c026
15118a012dc0
hex9e46d9212

42487091730 has 128 divisors (see below), whose sum is σ = 122890037760. Its totient is φ = 10403297280.

The previous prime is 42487091729. The next prime is 42487091821. The reversal of 42487091730 is 3719078424.

42487091730 is a `hidden beast` number, since 424 + 8 + 70 + 91 + 73 + 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75307 + ... + 301073.

It is an arithmetic number, because the mean of its divisors is an integer number (960078420).

Almost surely, 242487091730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42487091730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61445018880).

42487091730 is an abundant number, since it is smaller than the sum of its proper divisors (80402946030).

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

42487091730 is a wasteful number, since it uses less digits than its factorization.

42487091730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225841 (or 225835 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 42487091730 in words is "forty-two billion, four hundred eighty-seven million, ninety-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 41 45 51 54 82 85 90 102 123 135 153 170 205 246 255 270 306 369 410 459 510 615 697 738 765 918 1107 1230 1394 1530 1845 2091 2214 2295 3485 3690 4182 4590 5535 6273 6970 10455 11070 12546 18819 20910 31365 37638 62730 94095 188190 225767 451534 677301 1128835 1354602 2031903 2257670 3386505 3838039 4063806 6095709 6773010 7676078 9256447 10159515 11514117 12191418 18512894 19190195 20319030 23028234 27769341 30478545 34542351 38380390 46282235 55538682 57570585 60957090 69084702 83308023 92564470 103627053 115141170 138846705 157359599 166616046 172711755 207254106 249924069 277693410 314719198 345423510 416540115 472078797 499848138 518135265 786797995 833080230 944157594 1036270530 1249620345 1416236391 1573595990 2360393985 2499240690 2832472782 4248709173 4720787970 7081181955 8497418346 14162363910 21243545865 42487091730