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47031631146 = 23217181849161
BaseRepresentation
bin101011110011010011…
…011011110100101010
311111101201022102001200
4223303103123310222
51232310044144041
633334523025030
73253326161103
oct536323336452
9144351272050
1047031631146
1118a45147655
12914696b176
134586ab1a56
1423c23dd3aa
151353e9d1b6
hexaf34dbd2a

47031631146 has 48 divisors (see below), whose sum is σ = 108492333768. Its totient is φ = 14673484800.

The previous prime is 47031631117. The next prime is 47031631189. The reversal of 47031631146 is 64113613074.

47031631146 is a `hidden beast` number, since 4 + 7 + 0 + 3 + 1 + 631 + 14 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33769575225 + 13262055921 = 183765^2 + 115161^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47031631146.

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, 369195 + ... + 479966.

Almost surely, 247031631146 is an apocalyptic number.

47031631146 is an abundant number, since it is smaller than the sum of its proper divisors (61460702622).

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

47031631146 is a wasteful number, since it uses less digits than its factorization.

47031631146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849367 (or 849364 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 47031631146 in words is "forty-seven billion, thirty-one million, six hundred thirty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 181 306 362 543 1086 1629 3077 3258 6154 9231 18462 27693 55386 849161 1698322 2547483 5094966 7642449 14435737 15284898 28871474 43307211 86614422 129921633 153698141 259843266 307396282 461094423 922188846 1383283269 2612868397 2766566538 5225736794 7838605191 15677210382 23515815573 47031631146