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47034675106263 = 32133159219795391
BaseRepresentation
bin10101011000111000111010…
…00110100001000111010111
320011112110201101012220012200
422230130131012201013113
522131104003311400023
6244011233105415543
712623100044620215
oct1254343506410727
9204473641186180
1047034675106263
1113a943259a6a29
12533777563a5b3
132032473a11240
14b886c1a07cb5
1556872e6c1743
hex2ac71d1a11d7

47034675106263 has 48 divisors (see below), whose sum is σ = 76805301780480. Its totient is φ = 27535966459200.

The previous prime is 47034675106259. The next prime is 47034675106267. The reversal of 47034675106263 is 36260157643074.

47034675106263 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 4 + 6 + 7 + 5 + 1 + 0 + 626 + 3 = 666.

47034675106263 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47034675106259) and next prime (47034675106267).

It is not a de Polignac number, because 47034675106263 - 22 = 47034675106259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47034675106267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109683703 + ... + 110111688.

It is an arithmetic number, because the mean of its divisors is an integer number (1600110453760).

Almost surely, 247034675106263 is an apocalyptic number.

47034675106263 is a deficient number, since it is larger than the sum of its proper divisors (29770626674217).

47034675106263 is a wasteful number, since it uses less digits than its factorization.

47034675106263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219795500 (or 219795497 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 47034675106263 in words is "forty-seven trillion, thirty-four billion, six hundred seventy-five million, one hundred six thousand, two hundred sixty-three".

Divisors: 1 3 9 13 31 39 59 93 117 177 279 403 531 767 1209 1829 2301 3627 5487 6903 16461 23777 71331 213993 219795391 659386173 1978158519 2857340083 6813657121 8572020249 12967928069 20440971363 25716060747 38903784207 61322914089 88577542573 116711352621 168583064897 265732627719 402005770139 505749194691 797197883157 1206017310417 1517247584073 3618051931251 5226075011807 15678225035421 47034675106263