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47963105064 = 23327432213137
BaseRepresentation
bin101100101010110100…
…101110011100101000
311120210122001012001200
4230222310232130220
51241212023330224
634011155444200
73315366444360
oct545264563450
9146718035050
1047963105064
1119382a16806
1293668b6660
1346a4a78254
14246ddcd9a0
1513aab455c9
hexb2ad2e728

47963105064 has 96 divisors (see below), whose sum is σ = 151909792320. Its totient is φ = 13385046528.

The previous prime is 47963105051. The next prime is 47963105081. The reversal of 47963105064 is 46050136974.

47963105064 is a `hidden beast` number, since 4 + 7 + 9 + 631 + 0 + 5 + 0 + 6 + 4 = 666.

47963105064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1084897 + ... + 1128240.

It is an arithmetic number, because the mean of its divisors is an integer number (1582393670).

Almost surely, 247963105064 is an apocalyptic number.

It is an amenable number.

47963105064 is an abundant number, since it is smaller than the sum of its proper divisors (103946687256).

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

47963105064 is a wasteful number, since it uses less digits than its factorization.

47963105064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213199 (or 2213192 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 47963105064 in words is "forty-seven billion, nine hundred sixty-three million, one hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2709 3096 3612 5418 7224 10836 21672 2213137 4426274 6639411 8852548 13278822 15491959 17705096 19918233 26557644 30983918 39836466 46475877 53115288 61967836 79672932 92951754 95164891 123935672 139427631 159345864 185903508 190329782 278855262 285494673 371807016 380659564 557710524 570989346 666154237 761319128 856484019 1115421048 1141978692 1332308474 1712968038 1998462711 2283957384 2664616948 3425936076 3996925422 5329233896 5995388133 6851872152 7993850844 11990776266 15987701688 23981552532 47963105064