Search a number
-
+
46231694496 = 25321312348209
BaseRepresentation
bin101011000011100111…
…111010110010100000
311102022222002102021100
4223003213322302200
51224140303210441
633123305354400
73224443630221
oct530347726240
9142288072240
1046231694496
111867464a389
128b62a98a00
13448a151960
14234808d248
151308b39cb6
hexac39faca0

46231694496 has 72 divisors (see below), whose sum is σ = 141584575860. Its totient is φ = 14225135616.

The previous prime is 46231694489. The next prime is 46231694543. The reversal of 46231694496 is 69449613264.

46231694496 is a `hidden beast` number, since 4 + 62 + 3 + 1 + 6 + 94 + 496 = 666.

46231694496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36198867600 + 10032826896 = 190260^2 + 100164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6170361 + ... + 6177848.

Almost surely, 246231694496 is an apocalyptic number.

It is an amenable number.

46231694496 is an abundant number, since it is smaller than the sum of its proper divisors (95352881364).

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

46231694496 is a wasteful number, since it uses less digits than its factorization.

46231694496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12348238 (or 12348227 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 46231694496 in words is "forty-six billion, two hundred thirty-one million, six hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 12348209 24696418 37044627 49392836 74089254 98785672 111133881 148178508 160526717 197571344 222267762 296357016 321053434 395142688 444535524 481580151 592714032 642106868 889071048 963160302 1185428064 1284213736 1444740453 1778142096 1926320604 2568427472 2889480906 3556284192 3852641208 5136854944 5778961812 7705282416 11557923624 15410564832 23115847248 46231694496