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47820287460 = 22351199772673
BaseRepresentation
bin101100100010010011…
…111010110111100100
311120102200022022010210
4230202103322313210
51240413443144320
633545054415420
73312013510461
oct544223726744
9146380268123
1047820287460
111930a33a830
129326b01570
1346812c25aa
142459054668
15139d3340e0
hexb224fade4

47820287460 has 96 divisors (see below), whose sum is σ = 146217762432. Its totient is φ = 11581009920.

The previous prime is 47820287447. The next prime is 47820287467. The reversal of 47820287460 is 6478202874.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47820287467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621684 + ... + 694356.

It is an arithmetic number, because the mean of its divisors is an integer number (1523101692).

Almost surely, 247820287460 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 47820287460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73108881216).

47820287460 is an abundant number, since it is smaller than the sum of its proper divisors (98397474972).

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

47820287460 is a wasteful number, since it uses less digits than its factorization.

47820287460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73693 (or 73691 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 47820287460 in words is "forty-seven billion, eight hundred twenty million, two hundred eighty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 997 1994 2991 3988 4985 5982 9970 10967 11964 14955 19940 21934 29910 32901 43868 54835 59820 65802 72673 109670 131604 145346 164505 218019 219340 290692 329010 363365 436038 658020 726730 799403 872076 1090095 1453460 1598806 2180190 2398209 3197612 3997015 4360380 4796418 7994030 9592836 11991045 15988060 23982090 47964180 72454981 144909962 217364943 289819924 362274905 434729886 724549810 797004791 869459772 1086824715 1449099620 1594009582 2173649430 2391014373 3188019164 3985023955 4347298860 4782028746 7970047910 9564057492 11955071865 15940095820 23910143730 47820287460