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47722868480 = 285719280327
BaseRepresentation
bin101100011100100000…
…010010111100000000
311120011212222220102102
4230130200102330000
51240214023242410
633531254405532
73306421455230
oct543440227400
9146155886372
1047722868480
111926a351481
1292ba3608a8
134667073821
14244a135cc0
1513949de2a5
hexb1c812f00

47722868480 has 144 divisors (see below), whose sum is σ = 137517703680. Its totient is φ = 15500906496.

The previous prime is 47722868449. The next prime is 47722868513. The reversal of 47722868480 is 8486822774.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30077 + ... + 310403.

Almost surely, 247722868480 is an apocalyptic number.

47722868480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47722868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68758851840).

47722868480 is an abundant number, since it is smaller than the sum of its proper divisors (89794835200).

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

47722868480 is a wasteful number, since it uses less digits than its factorization.

47722868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280374 (or 280360 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 56.

The spelling of 47722868480 in words is "forty-seven billion, seven hundred twenty-two million, eight hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2128 2240 2432 2660 3040 4256 4480 4864 5320 6080 8512 8960 10640 12160 17024 21280 24320 34048 42560 85120 170240 280327 560654 1121308 1401635 1962289 2242616 2803270 3924578 4485232 5326213 5606540 7849156 8970464 9811445 10652426 11213080 15698312 17940928 19622890 21304852 22426160 26631065 31396624 35881856 37283491 39245780 42609704 44852320 53262130 62793248 71763712 74566982 78491560 85219408 89704640 106524260 125586496 149133964 156983120 170438816 179409280 186417455 213048520 251172992 298267928 313966240 340877632 358818560 372834910 426097040 502345984 596535856 627932480 681755264 745669820 852194080 1193071712 1255864960 1363510528 1491339640 1704388160 2386143424 2511729920 2982679280 3408776320 4772286848 5965358560 6817552640 9544573696 11930717120 23861434240 47722868480