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47125441000 = 23531141104491
BaseRepresentation
bin101011111000111001…
…010010100111101000
311111122020211102222201
4223320321102213220
51233003103103000
633352113425544
73255545432161
oct537071224750
9144566742881
1047125441000
1118a930a0360
12917226b2b4
1345a0368b41
1423d0a5c768
15135c32d96a
hexaf8e529e8

47125441000 has 128 divisors (see below), whose sum is σ = 123233685120. Its totient is φ = 16718400000.

The previous prime is 47125440983. The next prime is 47125441001. The reversal of 47125441000 is 14452174.

It is a self number, because there is not a number n which added to its sum of digits gives 47125441000.

It is not an unprimeable number, because it can be changed into a prime (47125441001) 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, 398755 + ... + 503245.

It is an arithmetic number, because the mean of its divisors is an integer number (962763165).

Almost surely, 247125441000 is an apocalyptic number.

47125441000 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 47125441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61616842560).

47125441000 is an abundant number, since it is smaller than the sum of its proper divisors (76108244120).

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

47125441000 is a wasteful number, since it uses less digits than its factorization.

47125441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104564 (or 104550 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 47125441000 its reverse (14452174), we get a palindrome (47139893174).

The spelling of 47125441000 in words is "forty-seven billion, one hundred twenty-five million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 820 902 1000 1025 1100 1375 1640 1804 2050 2200 2255 2750 3608 4100 4510 5125 5500 8200 9020 10250 11000 11275 18040 20500 22550 41000 45100 56375 90200 104491 112750 208982 225500 417964 451000 522455 835928 1044910 1149401 2089820 2298802 2612275 4179640 4284131 4597604 5224550 5747005 8568262 9195208 10449100 11494010 13061375 17136524 20898200 21420655 22988020 26122750 28735025 34273048 42841310 45976040 47125441 52245500 57470050 85682620 94250882 104491000 107103275 114940100 143675125 171365240 188501764 214206550 229880200 235627205 287350250 377003528 428413100 471254410 535516375 574700500 856826200 942508820 1071032750 1149401000 1178136025 1885017640 2142065500 2356272050 4284131000 4712544100 5890680125 9425088200 11781360250 23562720500 47125441000