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47050874484496 = 2417214926772
BaseRepresentation
bin10101011001010111000101…
…01010001111011100010000
320011121000112100012120112021
422230223202222033130100
522131340142332000441
6244022512350341224
712624212350225201
oct1254534252173420
9204530470176467
1047050874484496
1113aa018903a623
12533a9367ba814
132033b55b9474c
14b893bb2395a8
15568d7b94c3d1
hex2acae2a8f710

47050874484496 has 135 divisors (see below), whose sum is σ = 97637429354269. Its totient is φ = 21960500783104.

The previous prime is 47050874484473. The next prime is 47050874484511. The reversal of 47050874484496 is 69448447805074.

The square root of 47050874484496 is 6859364.

It is a perfect power (a square), and thus also a powerful number.

47050874484496 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 2190885466896 + 44859989017600 = 1480164^2 + 6697760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69499075710 + ... + 69499076386.

Almost surely, 247050874484496 is an apocalyptic number.

47050874484496 is the 6859364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47050874484496

47050874484496 is an abundant number, since it is smaller than the sum of its proper divisors (50586554869773).

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

47050874484496 is an frugal number, since it uses more digits than its factorization.

47050874484496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 70.

The spelling of 47050874484496 in words is "forty-seven trillion, fifty billion, eight hundred seventy-four million, four hundred eighty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 149 272 289 298 578 596 677 1156 1192 1354 2312 2384 2533 2708 4624 5066 5416 10132 10832 11509 20264 22201 23018 40528 43061 44402 46036 86122 88804 92072 100873 172244 177608 184144 195653 201746 344488 355216 377417 391306 403492 458329 688976 754834 782612 806984 916658 1509668 1565224 1613968 1714841 1833316 3019336 3130448 3429682 3666632 6038672 6416089 6859364 7333264 7791593 12832178 13718728 15030077 15583186 25664356 27437456 29152297 30060154 31166372 51328712 58304594 60120308 62332744 68291021 102657424 116609188 120240616 124665488 132457081 136582042 233218376 240481232 255511309 264914162 273164084 466436752 511022618 529828324 546328168 1022045236 1059656648 1092656336 1160947357 2044090472 2119313296 2321894714 4088180944 4343692253 4643789428 8687384506 9287578856 10175362129 17374769012 18575157712 19736105069 20350724258 34749538024 39472210138 40701448516 69499076048 78944420276 81402897032 157888840552 162805794064 172981156193 315777681104 345962312386 691924624772 1383849249544 2767698499088 2940679655281 5881359310562 11762718621124 23525437242248 47050874484496