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84464664640416 = 25363620741797
BaseRepresentation
bin10011001101000111110110…
…010101001111101110100000
3102002001202001201001012000000
4103031013312111033232200
542032332113121443131
6455350310430300000
723535241062320064
oct2315076625175640
9362052051035000
1084464664640416
1124a05299222595
129581999357600
133818ca3256608
1416c017c271aa4
159b71be300ce6
hex4cd1f654fba0

84464664640416 has 84 divisors (see below), whose sum is σ = 249320659468482. Its totient is φ = 28154888205696.

The previous prime is 84464664640387. The next prime is 84464664640487. The reversal of 84464664640416 is 61404646646448.

84464664640416 is a `hidden beast` number, since 8 + 44 + 64 + 6 + 64 + 64 + 0 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52027311296016 + 32437353344400 = 7212996^2 + 5695380^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1810347571 + ... + 1810394226.

Almost surely, 284464664640416 is an apocalyptic number.

It is an amenable number.

84464664640416 is an abundant number, since it is smaller than the sum of its proper divisors (164855994828066).

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

84464664640416 is an equidigital number, since it uses as much as digits as its factorization.

84464664640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620741825 (or 3620741802 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 63.

The spelling of 84464664640416 in words is "eighty-four trillion, four hundred sixty-four billion, six hundred sixty-four million, six hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 3620741797 7241483594 10862225391 14482967188 21724450782 28965934376 32586676173 43448901564 57931868752 65173352346 86897803128 97760028519 115863737504 130346704692 173795606256 195520057038 260693409384 293280085557 347591212512 391040114076 521386818768 586560171114 782080228152 879840256671 1042773637536 1173120342228 1564160456304 1759680513342 2346240684456 2639520770013 3128320912608 3519361026684 4692481368912 5279041540026 7038722053368 9384962737824 10558083080052 14077444106736 21116166160104 28154888213472 42232332320208 84464664640416