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48221467224 = 2337311351839
BaseRepresentation
bin101100111010001110…
…010011001001011000
311121110122012100022120
4230322032103021120
51242224143422344
634052545221240
73324654465000
oct547216231130
9147418170276
1048221467224
11194a5841057
129419331820
134716457b78
142496445000
1513c367c219
hexb3a393258

48221467224 has 128 divisors (see below), whose sum is σ = 141834240000. Its totient is φ = 13655373312.

The previous prime is 48221467211. The next prime is 48221467279. The reversal of 48221467224 is 42276412284.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 904297 + ... + 956135.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080000).

Almost surely, 248221467224 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 48221467224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70917120000).

48221467224 is an abundant number, since it is smaller than the sum of its proper divisors (93612772776).

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

48221467224 is a wasteful number, since it uses less digits than its factorization.

48221467224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51982 (or 51964 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The spelling of 48221467224 in words is "forty-eight billion, two hundred twenty-one million, four hundred sixty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 113 147 168 196 226 294 339 343 392 452 588 678 686 791 904 1029 1176 1356 1372 1582 2058 2373 2712 2744 3164 4116 4746 5537 6328 8232 9492 11074 16611 18984 22148 33222 38759 44296 51839 66444 77518 103678 116277 132888 155036 155517 207356 232554 310072 311034 362873 414712 465108 622068 725746 930216 1088619 1244136 1451492 2177238 2540111 2902984 4354476 5080222 5857807 7620333 8708952 10160444 11715614 15240666 17573421 17780777 20320888 23431228 30481332 35146842 35561554 41004649 46862456 53342331 60962664 70293684 71123108 82009298 106684662 123013947 140587368 142246216 164018596 213369324 246027894 287032543 328037192 426738648 492055788 574065086 861097629 984111576 1148130172 1722195258 2009227801 2296260344 3444390516 4018455602 6027683403 6888781032 8036911204 12055366806 16073822408 24110733612 48221467224