Search a number
-
+
16161534450 = 2335221156737
BaseRepresentation
bin11110000110100110…
…10111000111110010
31112201022210000102000
433003103113013302
5231044323100300
611231405434430
71111332530145
oct170323270762
945638700360
1016161534450
116943846046
12317056ba16
1316a7393249
14ad45c005c
15648ca2c00
hex3c34d71f2

16161534450 has 96 divisors (see below), whose sum is σ = 44745856320. Its totient is φ = 4289241600.

The previous prime is 16161534443. The next prime is 16161534457. The reversal of 16161534450 is 5443516161.

16161534450 is a `hidden beast` number, since 1 + 6 + 1 + 615 + 34 + 4 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16161534443) and next prime (16161534457).

It is a super-2 number, since 2×161615344502 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16161534457) 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 47 ways as a sum of consecutive naturals, for example, 256482 + ... + 313218.

It is an arithmetic number, because the mean of its divisors is an integer number (466102670).

Almost surely, 216161534450 is an apocalyptic number.

16161534450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16161534450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372928160).

16161534450 is an abundant number, since it is smaller than the sum of its proper divisors (28584321870).

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

16161534450 is a wasteful number, since it uses less digits than its factorization.

16161534450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56969 (or 56958 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 16161534450 in words is "sixteen billion, one hundred sixty-one million, five hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 211 225 270 422 450 633 675 1055 1266 1350 1899 2110 3165 3798 5275 5697 6330 9495 10550 11394 15825 18990 28485 31650 47475 56737 56970 94950 113474 142425 170211 283685 284850 340422 510633 567370 851055 1021266 1418425 1531899 1702110 2553165 2836850 3063798 4255275 5106330 7659495 8510550 11971507 12765825 15318990 23943014 25531650 35914521 38297475 59857535 71829042 76594950 107743563 119715070 179572605 215487126 299287675 323230689 359145210 538717815 598575350 646461378 897863025 1077435630 1616153445 1795726050 2693589075 3232306890 5387178150 8080767225 16161534450