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84584506112 = 287115729641
BaseRepresentation
bin100111011000110100…
…0010010001100000000
322002022211200010002122
41032301220102030000
52341212113143422
6102505123303412
76053040303431
oct1166150221400
9262284603078
1084584506112
1132965826407
121448721ab68
137c8cb88a22
1441459a1488
152300c00d42
hex13b1a12300

84584506112 has 72 divisors (see below), whose sum is σ = 172312977312. Its totient is φ = 41429606400.

The previous prime is 84584506093. The next prime is 84584506157. The reversal of 84584506112 is 21160548548.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2838812 + ... + 2868452.

It is an arithmetic number, because the mean of its divisors is an integer number (2393235796).

Almost surely, 284584506112 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 84584506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86156488656).

84584506112 is an abundant number, since it is smaller than the sum of its proper divisors (87728471200).

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

84584506112 is a wasteful number, since it uses less digits than its factorization.

84584506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29885 (or 29871 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 44.

The spelling of 84584506112 in words is "eighty-four billion, five hundred eighty-four million, five hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 128 142 157 256 284 314 568 628 1136 1256 2272 2512 4544 5024 9088 10048 11147 18176 20096 22294 29641 40192 44588 59282 89176 118564 178352 237128 356704 474256 713408 948512 1426816 1897024 2104511 2853632 3794048 4209022 4653637 7588096 8418044 9307274 16836088 18614548 33672176 37229096 67344352 74458192 134688704 148916384 269377408 297832768 330408227 538754816 595665536 660816454 1191331072 1321632908 2643265816 5286531632 10573063264 21146126528 42292253056 84584506112