Search a number
-
+
46346266040 = 23519314394481
BaseRepresentation
bin101011001010011100…
…111110010110111000
311102121221200020212212
4223022130332112320
51224404121003130
633142521154252
73230334522104
oct531234762670
9142557606785
1046346266040
1118723293708
128b9532b988
1344a7ac7a79
142359394904
151313c1be95
hexaca73e5b8

46346266040 has 128 divisors (see below), whose sum is σ = 113591808000. Its totient is φ = 16953753600.

The previous prime is 46346266039. The next prime is 46346266067. The reversal of 46346266040 is 4066264364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10340600 + ... + 10345080.

It is an arithmetic number, because the mean of its divisors is an integer number (887436000).

Almost surely, 246346266040 is an apocalyptic number.

46346266040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46346266040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56795904000).

46346266040 is an abundant number, since it is smaller than the sum of its proper divisors (67245541960).

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

46346266040 is a wasteful number, since it uses less digits than its factorization.

46346266040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 41.

The spelling of 46346266040 in words is "forty-six billion, three hundred forty-six million, two hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 439 589 620 760 878 1178 1240 1756 2195 2356 2945 3512 4390 4481 4712 5890 8341 8780 8962 11780 13609 16682 17560 17924 22405 23560 27218 33364 35848 41705 44810 54436 66728 68045 83410 85139 89620 108872 136090 138911 166820 170278 179240 258571 272180 277822 333640 340556 425695 517142 544360 555644 681112 694555 851390 1034284 1111288 1292855 1389110 1702780 1967159 2068568 2585710 2639309 2778220 3405560 3934318 5171420 5278618 5556440 7868636 9835795 10342840 10557236 13196545 15737272 19671590 21114472 26393090 37376021 39343180 52786180 60981929 74752042 78686360 105572360 121963858 149504084 186880105 243927716 299008168 304909645 373760210 487855432 609819290 747520420 1158656651 1219638580 1495040840 2317313302 2439277160 4634626604 5793283255 9269253208 11586566510 23173133020 46346266040