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84717408816 = 243550343319
BaseRepresentation
bin100111011100110001…
…1010001001000110000
322002200002202021100000
41032321203101020300
52342000124040231
6102530232030000
76056243044035
oct1167143211060
9262602667300
1084717408816
1132a23850157
1214503832300
137cb157c791
1441594b938c
15230c7046e6
hex13b98d1230

84717408816 has 120 divisors (see below), whose sum is σ = 246366731520. Its totient is φ = 28182344256.

The previous prime is 84717408803. The next prime is 84717408821. The reversal of 84717408816 is 61880471748.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1934005 + ... + 1977323.

It is an arithmetic number, because the mean of its divisors is an integer number (2053056096).

Almost surely, 284717408816 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 84717408816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123183365760).

84717408816 is an abundant number, since it is smaller than the sum of its proper divisors (161649322704).

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

84717408816 is a wasteful number, since it uses less digits than its factorization.

84717408816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43845 (or 43827 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 84717408816 in words is "eighty-four billion, seven hundred seventeen million, four hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 503 648 972 1006 1296 1509 1944 2012 3018 3888 4024 4527 6036 8048 9054 12072 13581 18108 24144 27162 36216 40743 43319 54324 72432 81486 86638 108648 122229 129957 162972 173276 217296 244458 259914 325944 346552 389871 488916 519828 651888 693104 779742 977832 1039656 1169613 1559484 1955664 2079312 2339226 3118968 3508839 4678452 6237936 7017678 9356904 10526517 14035356 18713808 21053034 21789457 28070712 42106068 43578914 56141424 65368371 84212136 87157828 130736742 168424272 174315656 196105113 261473484 348631312 392210226 522946968 588315339 784420452 1045893936 1176630678 1568840904 1764946017 2353261356 3137681808 3529892034 4706522712 5294838051 7059784068 9413045424 10589676102 14119568136 21179352204 28239136272 42358704408 84717408816