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8741313056 = 257228319699
BaseRepresentation
bin10000010010000010…
…11101101000100000
3211120012022201020102
420021001131220200
5120400234004211
64003220401532
7426421635500
oct101101355040
924505281212
108741313056
113786274973
12183b5462a8
13a93cb88b8
145ccd17a00
1536262da3b
hex20905da20

8741313056 has 72 divisors (see below), whose sum is σ = 20090926800. Its totient is φ = 3732849792.

The previous prime is 8741313043. The next prime is 8741313073. The reversal of 8741313056 is 6503131478.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433895 + ... + 453593.

It is an arithmetic number, because the mean of its divisors is an integer number (279040650).

Almost surely, 28741313056 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 8741313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10045463400).

8741313056 is an abundant number, since it is smaller than the sum of its proper divisors (11349613744).

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

8741313056 is a wasteful number, since it uses less digits than its factorization.

8741313056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20006 (or 19991 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 8741313056 is about 93494.9894700245. The cubic root of 8741313056 is about 2059.9604931626.

The spelling of 8741313056 in words is "eight billion, seven hundred forty-one million, three hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 283 392 566 784 1132 1568 1981 2264 3962 4528 7924 9056 13867 15848 19699 27734 31696 39398 55468 63392 78796 110936 137893 157592 221872 275786 315184 443744 551572 630368 965251 1103144 1930502 2206288 3861004 4412576 5574817 7722008 11149634 15444016 22299268 30888032 39023719 44598536 78047438 89197072 156094876 178394144 273166033 312189752 546332066 624379504 1092664132 1248759008 2185328264 4370656528 8741313056