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216671061160 = 23523973476997
BaseRepresentation
bin1100100111001010011…
…0100000010010101000
3202201021011211100011001
43021302212200102220
512022220242424120
6243312020444344
721440211426601
oct3116246402250
9681234740131
10216671061160
11839871901a4
1235baa8496b4
13175801217c8
14a6b6216da8
155981d22e0a
hex32729a04a8

216671061160 has 128 divisors (see below), whose sum is σ = 515505150720. Its totient is φ = 81797455872.

The previous prime is 216671061151. The next prime is 216671061161. The reversal of 216671061160 is 61160176612.

It is not an unprimeable number, because it can be changed into a prime (216671061161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30962782 + ... + 30969778.

It is an arithmetic number, because the mean of its divisors is an integer number (4027383990).

Almost surely, 2216671061160 is an apocalyptic number.

216671061160 is a gapful number since it is divisible by the number (20) 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 216671061160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257752575360).

216671061160 is an abundant number, since it is smaller than the sum of its proper divisors (298834089560).

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

216671061160 is a wasteful number, since it uses less digits than its factorization.

216671061160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7475 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 216671061160 in words is "two hundred sixteen billion, six hundred seventy-one million, sixty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 97 115 184 194 230 347 388 460 485 694 776 920 970 1388 1735 1940 2231 2776 3470 3880 4462 6940 6997 7981 8924 11155 13880 13994 15962 17848 22310 27988 31924 33659 34985 39905 44620 55976 63848 67318 69970 79810 89240 134636 139940 159620 160931 168295 269272 279880 319240 321862 336590 643724 673180 678709 774157 804655 1287448 1346360 1357418 1548314 1609310 2427959 2714836 3096628 3218620 3393545 3870785 4855918 5429672 6193256 6437240 6787090 7741570 9711836 12139795 13574180 15483140 15610307 19423672 24279590 27148360 30966280 31220614 48559180 55843057 62441228 78051535 97118360 111686114 124882456 156103070 223372228 235512023 279215285 312206140 446744456 471024046 558430570 624412280 942048092 1116861140 1177560115 1884096184 2233722280 2355120230 4710240460 5416776529 9420480920 10833553058 21667106116 27083882645 43334212232 54167765290 108335530580 216671061160