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218068010316 = 2232131074354741
BaseRepresentation
bin1100101100010111011…
…1011100010101001100
3202211212112102201010200
43023011313130111030
512033100402312231
6244102402133500
721516633334632
oct3130567342514
9684775381120
10218068010316
1184533785832
123631a651290
1317743672740
14a7a9973352
155a147b3be6
hex32c5ddc54c

218068010316 has 72 divisors (see below), whose sum is σ = 599177661264. Its totient is φ = 66470751360.

The previous prime is 218068010291. The next prime is 218068010371. The reversal of 218068010316 is 613010860812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2127295 + ... + 2227446.

It is an arithmetic number, because the mean of its divisors is an integer number (8321911962).

Almost surely, 2218068010316 is an apocalyptic number.

218068010316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

218068010316 is an abundant number, since it is smaller than the sum of its proper divisors (381109650948).

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

218068010316 is a wasteful number, since it uses less digits than its factorization.

218068010316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354871 (or 4354866 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 218068010316 in words is "two hundred eighteen billion, sixty-eight million, ten thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 234 321 428 468 642 963 1284 1391 1926 2782 3852 4173 5564 8346 12519 16692 25038 50076 4354741 8709482 13064223 17418964 26128446 39192669 52256892 56611633 78385338 113223266 156770676 169834899 226446532 339669798 465957287 509504697 679339596 931914574 1019009394 1397871861 1863829148 2038018788 2795743722 4193615583 5591487444 6057444731 8387231166 12114889462 16774462332 18172334193 24229778924 36344668386 54517002579 72689336772 109034005158 218068010316