Search a number
-
+
46214135221050 = 23252372775623737
BaseRepresentation
bin10101000001000000100010…
…00111010000101100111010
320001122000202112122212200200
422200200101013100230322
522024133022104033200
6242142251452143030
712506601231645006
oct1240402107205472
9201560675585620
1046214135221050
11137a8339594495
125224738467a76
131ca2c8857b644
14b5aac17c1706
1555220806c800
hex2a08111d0b3a

46214135221050 has 72 divisors (see below), whose sum is σ = 127517705771196. Its totient is φ = 11990694539520.

The previous prime is 46214135221031. The next prime is 46214135221061. The reversal of 46214135221050 is 5012253141264.

46214135221050 is a `hidden beast` number, since 4 + 6 + 2 + 1 + 41 + 352 + 210 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41920872484689 + 4293262736361 = 6474633^2 + 2072019^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46214135220996 and 46214135221014.

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 35 ways as a sum of consecutive naturals, for example, 1387795219 + ... + 1387828518.

Almost surely, 246214135221050 is an apocalyptic number.

46214135221050 is an abundant number, since it is smaller than the sum of its proper divisors (81303570550146).

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

46214135221050 is a wasteful number, since it uses less digits than its factorization.

46214135221050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775623792 (or 2775623784 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 46214135221050 in words is "forty-six trillion, two hundred fourteen billion, one hundred thirty-five million, two hundred twenty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8325 16650 2775623737 5551247474 8326871211 13878118685 16653742422 24980613633 27756237370 41634356055 49961227266 69390593425 83268712110 102698078269 124903068165 138781186850 205396156538 208171780275 249806136330 308094234807 416343560550 513490391345 616188469614 624515340825 924282704421 1026980782690 1249030681650 1540471174035 1848565408842 2567451956725 3080942348070 4621413522105 5134903913450 7702355870175 9242827044210 15404711740350 23107067610525 46214135221050