Search a number
-
+
66033184050 = 232523719320549
BaseRepresentation
bin111101011111111000…
…100110110100110010
320022102222002022101100
4331133320212310302
52040213443342200
650200224145230
74525235542401
oct753770466462
9208388068340
1066033184050
1126006013589
121096a468216
1362c4674292
1432a5c5d638
151ab7242d00
hexf5fe26d32

66033184050 has 144 divisors (see below), whose sum is σ = 183156971400. Its totient is φ = 17043333120.

The previous prime is 66033184043. The next prime is 66033184127. The reversal of 66033184050 is 5048133066.

66033184050 is a `hidden beast` number, since 6 + 603 + 3 + 1 + 8 + 40 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25198070121 + 40835113929 = 158739^2 + 202077^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66033183996 and 66033184014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3203176 + ... + 3223724.

Almost surely, 266033184050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66033184050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91578485700).

66033184050 is an abundant number, since it is smaller than the sum of its proper divisors (117123787350).

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

66033184050 is a wasteful number, since it uses less digits than its factorization.

66033184050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20797 (or 20789 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 66033184050 in words is "sixty-six billion, thirty-three million, one hundred eighty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 193 222 225 333 370 386 450 555 579 666 925 965 1110 1158 1665 1737 1850 1930 2775 2895 3330 3474 4825 5550 5790 7141 8325 8685 9650 14282 14475 16650 17370 20549 21423 28950 35705 41098 42846 43425 61647 64269 71410 86850 102745 107115 123294 128538 178525 184941 205490 214230 308235 321345 357050 369882 513725 535575 616470 642690 760313 924705 1027450 1071150 1520626 1541175 1606725 1849410 2280939 3082350 3213450 3801565 3965957 4561878 4623525 6842817 7603130 7931914 9247050 11404695 11897871 13685634 19007825 19829785 22809390 23795742 34214085 35693613 38015650 39659570 57023475 59489355 68428170 71387226 99148925 114046950 118978710 146740409 171070425 178468065 198297850 293480818 297446775 342140850 356936130 440221227 594893550 733702045 880442454 892340325 1320663681 1467404090 1784680650 2201106135 2641327362 3668510225 4402212270 6603318405 7337020450 11005530675 13206636810 22011061350 33016592025 66033184050