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216155932248 = 23331536781817
BaseRepresentation
bin1100100101001111100…
…1011100011001011000
3202122221021112002010110
43021103321130121120
512020141404312443
6243144535444320
721421355052204
oct3112371343130
9678837462113
10216155932248
1183742430223
1235a862266a0
13174ca4a04b9
14a667a43b04
1559519bc233
hex3253e5c658

216155932248 has 128 divisors (see below), whose sum is σ = 576836536320. Its totient is φ = 67390202880.

The previous prime is 216155932241. The next prime is 216155932261. The reversal of 216155932248 is 842239551612.

216155932248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216155932197 and 216155932206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216155932241) 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, 2601036 + ... + 2682852.

It is an arithmetic number, because the mean of its divisors is an integer number (4506535440).

Almost surely, 2216155932248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216155932248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288418268160).

216155932248 is an abundant number, since it is smaller than the sum of its proper divisors (360680604072).

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

216155932248 is a wasteful number, since it uses less digits than its factorization.

216155932248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81977 (or 81973 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 216155932248 in words is "two hundred sixteen billion, one hundred fifty-five million, nine hundred thirty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 67 93 106 124 134 159 186 201 212 248 268 318 372 402 424 536 636 744 804 1272 1608 1643 2077 3286 3551 4154 4929 6231 6572 7102 8308 9858 10653 12462 13144 14204 16616 19716 21306 24924 28408 39432 42612 49848 81817 85224 110081 163634 220162 245451 327268 330243 440324 490902 654536 660486 880648 981804 1320972 1963608 2536327 2641944 4336301 5072654 5481739 7608981 8672602 10145308 10963478 13008903 15217962 16445217 17345204 20290616 21926956 26017806 30435924 32890434 34690408 43853912 52035612 60871848 65780868 104071224 131561736 134425331 169933909 268850662 290532167 339867818 403275993 509801727 537701324 581064334 679735636 806551986 871596501 1019603454 1075402648 1162128668 1359471272 1613103972 1743193002 2039206908 2324257336 3226207944 3486386004 4078413816 6972772008 9006497177 18012994354 27019491531 36025988708 54038983062 72051977416 108077966124 216155932248