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216642564336 = 243112157923623
BaseRepresentation
bin1100100111000011100…
…1110011000011110000
3202201012012012112212010
43021300321303003300
512022140444024321
6243305122002520
721436414261512
oct3116071630360
9681165175763
10216642564336
1183972097100
1235ba11a6440
1317577254a93
14a6b2519bb2
15597e594676
hex3270e730f0

216642564336 has 120 divisors (see below), whose sum is σ = 615579072640. Its totient is φ = 65604908160.

The previous prime is 216642564329. The next prime is 216642564343. The reversal of 216642564336 is 633465246612.

It is an interprime number because it is at equal distance from previous prime (216642564329) and next prime (216642564343).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 9159021 + ... + 9182643.

Almost surely, 2216642564336 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 216642564336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307789536320).

216642564336 is an abundant number, since it is smaller than the sum of its proper divisors (398936508304).

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

216642564336 is a wasteful number, since it uses less digits than its factorization.

216642564336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25235 (or 25218 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 48.

The spelling of 216642564336 in words is "two hundred sixteen billion, six hundred forty-two million, five hundred sixty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1579 1936 2904 3158 4737 5808 6316 9474 12632 17369 18948 23623 25264 34738 37896 47246 52107 69476 70869 75792 94492 104214 138952 141738 188984 191059 208428 259853 277904 283476 377968 382118 416856 519706 566952 573177 764236 779559 833712 1039412 1133904 1146354 1528472 1559118 2078824 2292708 2858383 3056944 3118236 4157648 4585416 5716766 6236472 8575149 9170832 11433532 12472944 17150298 22867064 34300596 37300717 45734128 68601192 74601434 111902151 137202384 149202868 223804302 298405736 410307887 447608604 596811472 820615774 895217208 1230923661 1641231548 1790434416 2461847322 3282463096 4513386757 4923694644 6564926192 9026773514 9847389288 13540160271 18053547028 19694778576 27080320542 36107094056 54160641084 72214188112 108321282168 216642564336