Search a number
-
+
46321462000 = 245311317401
BaseRepresentation
bin101011001000111110…
…010110101011110000
311102120020000002010201
4223020332112223300
51224331243241000
633140233404544
73226613634112
oct531076265360
9142506002121
1046321462000
1118710292000
128b88b69754
1344a2921b18
142355d793b2
15131196c96a
hexac8f96af0

46321462000 has 160 divisors (see below), whose sum is σ = 123204489408. Its totient is φ = 16843200000.

The previous prime is 46321461937. The next prime is 46321462009. The reversal of 46321462000 is 26412364.

It is a self number, because there is not a number n which added to its sum of digits gives 46321462000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46321462009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653300 + ... + 2670700.

Almost surely, 246321462000 is an apocalyptic number.

46321462000 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 46321462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61602244704).

46321462000 is an abundant number, since it is smaller than the sum of its proper divisors (76883027408).

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

46321462000 is a wasteful number, since it uses less digits than its factorization.

46321462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17457 (or 17419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 46321462000 its reverse (26412364), we get a palindrome (46347874364).

The spelling of 46321462000 in words is "forty-six billion, three hundred twenty-one million, four hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1331 1375 1936 2000 2200 2420 2662 2750 3025 4400 4840 5324 5500 6050 6655 9680 10648 11000 12100 13310 15125 17401 21296 22000 24200 26620 30250 33275 34802 48400 53240 60500 66550 69604 87005 106480 121000 133100 139208 166375 174010 191411 242000 266200 278416 332750 348020 382822 435025 532400 665500 696040 765644 870050 957055 1331000 1392080 1531288 1740100 1914110 2105521 2175125 2662000 3062576 3480200 3828220 4211042 4350250 4785275 6960400 7656440 8422084 8700500 9570550 10527605 15312880 16844168 17401000 19141100 21055210 23160731 23926375 33688336 34802000 38282200 42110420 46321462 47852750 52638025 76564400 84220840 92642924 95705500 105276050 115803655 168441680 185285848 191411000 210552100 231607310 263190125 370571696 382822000 421104200 463214620 526380250 579018275 842208400 926429240 1052760500 1158036550 1852858480 2105521000 2316073100 2895091375 4211042000 4632146200 5790182750 9264292400 11580365500 23160731000 46321462000