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50441566464 = 283246792
BaseRepresentation
bin101110111110100011…
…010011100100000000
311211012100201001221100
4232332203103210000
51311301020111324
635101133454400
73433663145352
oct567643234400
9154170631840
1050441566464
111a434a49513
129938941400
1349ab3a5b63
1426272350d2
1514a35194c9
hexbbe8d3900

50441566464 has 81 divisors (see below), whose sum is σ = 145466560603. Its totient is φ = 16810262016.

The previous prime is 50441566451. The next prime is 50441566471. The reversal of 50441566464 is 46466514405.

The square root of 50441566464 is 224592.

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

50441566464 is a `hidden beast` number, since 5 + 0 + 4 + 41 + 566 + 46 + 4 = 666.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 10778077 + ... + 10782755.

Almost surely, 250441566464 is an apocalyptic number.

50441566464 is the 224592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50441566464

50441566464 is an abundant number, since it is smaller than the sum of its proper divisors (95024994139).

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

50441566464 is an frugal number, since it uses more digits than its factorization.

50441566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 50441566464 in words is "fifty billion, four hundred forty-one million, five hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4679 9358 14037 18716 28074 37432 42111 56148 74864 84222 112296 149728 168444 224592 299456 336888 449184 598912 673776 898368 1197824 1347552 1796736 2695104 3593472 5390208 10780416 21893041 43786082 65679123 87572164 131358246 175144328 197037369 262716492 350288656 394074738 525432984 700577312 788149476 1050865968 1401154624 1576298952 2101731936 2802309248 3152597904 4203463872 5604618496 6305195808 8406927744 12610391616 16813855488 25220783232 50441566464