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47452732104 = 233195315113003
BaseRepresentation
bin101100001100011001…
…110011101011001000
311112111001200112222110
4230030121303223020
51234140344411404
633444404422320
73266631365511
oct541431635310
9145431615873
1047452732104
1119140914a78
1292439a79a0
13462310090b
1424222d7a08
15137ae2db89
hexb0c673ac8

47452732104 has 128 divisors (see below), whose sum is σ = 128084198400. Its totient is φ = 14603846400.

The previous prime is 47452732091. The next prime is 47452732121. The reversal of 47452732104 is 40123725474.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3642867 + ... + 3655869.

It is an arithmetic number, because the mean of its divisors is an integer number (1000657800).

Almost surely, 247452732104 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 47452732104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64042099200).

47452732104 is an abundant number, since it is smaller than the sum of its proper divisors (80631466296).

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

47452732104 is a wasteful number, since it uses less digits than its factorization.

47452732104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13235 (or 13231 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 47452732104 in words is "forty-seven billion, four hundred fifty-two million, seven hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 151 152 159 212 228 302 318 424 453 456 604 636 906 1007 1208 1272 1812 2014 2869 3021 3624 4028 5738 6042 8003 8056 8607 11476 12084 13003 16006 17214 22952 24009 24168 26006 32012 34428 39009 48018 52012 64024 68856 78018 96036 104024 152057 156036 192072 247057 304114 312072 456171 494114 608228 689159 741171 912342 988228 1216456 1378318 1482342 1824684 1963453 1976456 2067477 2756636 2964684 3649368 3926906 4134954 5513272 5890359 5929368 7853812 8269908 11780718 13094021 15707624 16539816 23561436 26188042 37305607 39282063 47122872 52376084 74611214 78564126 104063009 104752168 111916821 149222428 157128252 208126018 223833642 298444856 312189027 314256504 416252036 447667284 624378054 832504072 895334568 1248756108 1977197171 2497512216 3954394342 5931591513 7908788684 11863183026 15817577368 23726366052 47452732104