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216217836036 = 223253937120941
BaseRepresentation
bin1100100101011110010…
…1100101101000000100
3202200002121000010011100
43021113211211220010
512020303231223121
6243155030340100
721423036165546
oct3112745455004
9680077003140
10216217836036
1183774371484
1235aa2aba630
131750a265b67
14a671d59696
155957149026
hex3257965a04

216217836036 has 72 divisors (see below), whose sum is σ = 557461830744. Its totient is φ = 70636700160.

The previous prime is 216217836031. The next prime is 216217836041. The reversal of 216217836036 is 630638712612.

216217836036 is a `hidden beast` number, since 2 + 16 + 21 + 7 + 8 + 3 + 603 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (216217836031) and next prime (216217836041).

It can be written as a sum of positive squares in 4 ways, for example, as 53763696900 + 162454139136 = 231870^2 + 403056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 216217835982 and 216217836000.

It is not an unprimeable number, because it can be changed into a prime (216217836031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1727326 + ... + 1848266.

It is an arithmetic number, because the mean of its divisors is an integer number (7742525427).

Almost surely, 2216217836036 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 216217836036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278730915372).

216217836036 is an abundant number, since it is smaller than the sum of its proper divisors (341243994708).

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

216217836036 is a wasteful number, since it uses less digits than its factorization.

216217836036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121941 (or 121936 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 216217836036 in words is "two hundred sixteen billion, two hundred seventeen million, eight hundred thirty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 937 954 1874 1908 2811 3748 5622 8433 11244 16866 33732 49661 99322 120941 148983 198644 241882 297966 362823 446949 483764 595932 725646 893898 1088469 1451292 1787796 2176938 4353876 6409873 12819746 19229619 25639492 38459238 57688857 76918476 113321717 115377714 226643434 230755428 339965151 453286868 679930302 1019895453 1359860604 2039790906 4079581812 6006051001 12012102002 18018153003 24024204004 36036306006 54054459009 72072612012 108108918018 216217836036