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47064241040 = 2451075719629
BaseRepresentation
bin101011110101001111…
…110101001110010000
311111110222200011102112
4223311033311032100
51232341421203130
633342050004452
73254203306505
oct536517651620
9144428604375
1047064241040
1118a6159a983
129155876728
13459078b94b
1423c688b4ac
151356c90495
hexaf53f5390

47064241040 has 80 divisors (see below), whose sum is σ = 110651935680. Its totient is φ = 18615160320.

The previous prime is 47064241009. The next prime is 47064241051. The reversal of 47064241040 is 4014246074.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 47064240988 and 47064241006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4882946 + ... + 4892574.

It is an arithmetic number, because the mean of its divisors is an integer number (1383149196).

Almost surely, 247064241040 is an apocalyptic number.

47064241040 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 47064241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55325967840).

47064241040 is an abundant number, since it is smaller than the sum of its proper divisors (63587694640).

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

47064241040 is a wasteful number, since it uses less digits than its factorization.

47064241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 47064241040 in words is "forty-seven billion, sixty-four million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 571 856 1070 1142 1712 2140 2284 2855 4280 4568 5710 8560 9136 9629 11420 19258 22840 38516 45680 48145 61097 77032 96290 122194 154064 192580 244388 305485 385160 488776 610970 770320 977552 1030303 1221940 2060606 2443880 4121212 4887760 5151515 5498159 8242424 10303030 10996318 16484848 20606060 21992636 27490795 41212120 43985272 54981590 82424240 87970544 109963180 219926360 439852720 588303013 1176606026 2353212052 2941515065 4706424104 5883030130 9412848208 11766060260 23532120520 47064241040