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216907680288 = 25313672594093
BaseRepresentation
bin1100101000000010110…
…1001000101000100000
3202201212200001211120110
43022000231020220200
512023211331232123
6243351312211320
721446113601355
oct3120055105040
9681780054513
10216907680288
1183a988046a2
1236055b39b40
13175ba15a820
14a6d980c62c
1559979b2493
hex3280b48a20

216907680288 has 96 divisors (see below), whose sum is σ = 622333526976. Its totient is φ = 65744667648.

The previous prime is 216907680277. The next prime is 216907680323. The reversal of 216907680288 is 882086709612.

216907680288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213431 + ... + 1380662.

It is an arithmetic number, because the mean of its divisors is an integer number (6482640906).

Almost surely, 2216907680288 is an apocalyptic number.

It is an amenable number.

216907680288 is an abundant number, since it is smaller than the sum of its proper divisors (405425846688).

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

216907680288 is a wasteful number, since it uses less digits than its factorization.

216907680288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594186 (or 2594178 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 216907680288 in words is "two hundred sixteen billion, nine hundred seven million, six hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 201 208 268 312 402 416 536 624 804 871 1072 1248 1608 1742 2144 2613 3216 3484 5226 6432 6968 10452 13936 20904 27872 41808 83616 2594093 5188186 7782279 10376372 15564558 20752744 31129116 33723209 41505488 62258232 67446418 83010976 101169627 124516464 134892836 173804231 202339254 249032928 269785672 347608462 404678508 521412693 539571344 695216924 809357016 1042825386 1079142688 1390433848 1618714032 2085650772 2259455003 2780867696 3237428064 4171301544 4518910006 5561735392 6778365009 8342603088 9037820012 13556730018 16685206176 18075640024 27113460036 36151280048 54226920072 72302560096 108453840144 216907680288