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4647006112 = 257231795039
BaseRepresentation
bin1000101001111101…
…11010111110100000
3102222212011100222111
410110332322332200
534004113143422
62045041245104
7223104620530
oct42476727640
912885140874
104647006112
111a75128521
12a98333794
13590997a78
143212554c0
151c2e7aa77
hex114fbafa0

4647006112 has 96 divisors (see below), whose sum is σ = 10973491200. Its totient is φ = 1893965568.

The previous prime is 4647006031. The next prime is 4647006121. The reversal of 4647006112 is 2116007464.

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, 919689 + ... + 924727.

It is an arithmetic number, because the mean of its divisors is an integer number (114307200).

Almost surely, 24647006112 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 4647006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486745600).

4647006112 is an abundant number, since it is smaller than the sum of its proper divisors (6326485088).

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

4647006112 is a wasteful number, since it uses less digits than its factorization.

4647006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 4647006112 is about 68168.9526984242. The cubic root of 4647006112 is about 1668.7492411972.

The spelling of 4647006112 in words is "four billion, six hundred forty-seven million, six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 179 184 224 322 358 368 644 716 736 1253 1288 1432 2506 2576 2864 4117 5012 5039 5152 5728 8234 10024 10078 16468 20048 20156 28819 32936 35273 40096 40312 57638 65872 70546 80624 115276 115897 131744 141092 161248 230552 231794 282184 461104 463588 564368 811279 901981 922208 927176 1128736 1622558 1803962 1854352 3245116 3607924 3708704 6313867 6490232 7215848 12627734 12980464 14431696 20745563 25255468 25960928 28863392 41491126 50510936 82982252 101021872 145218941 165964504 202043744 290437882 331929008 580875764 663858016 1161751528 2323503056 4647006112