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5760196864 = 28192157397
BaseRepresentation
bin1010101110101010…
…11010000100000000
3112212102211022121121
411113111122010000
543244102244424
62351325002024
7262512602602
oct52725320400
915772738547
105760196864
112496532184
1211490b3314
1370a4b6716
143c9029172
1523aa69ee4
hex15755a100

5760196864 has 108 divisors (see below), whose sum is σ = 12242948844. Its totient is φ = 2704306176.

The previous prime is 5760196861. The next prime is 5760196867. The reversal of 5760196864 is 4686910675.

It is an interprime number because it is at equal distance from previous prime (5760196861) and next prime (5760196867).

It can be written as a sum of positive squares in 2 ways, for example, as 2765918464 + 2994278400 = 52592^2 + 54720^2 .

It is not an unprimeable number, because it can be changed into a prime (5760196861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14509114 + ... + 14509510.

Almost surely, 25760196864 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 5760196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121474422).

5760196864 is an abundant number, since it is smaller than the sum of its proper divisors (6482751980).

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

5760196864 is a wasteful number, since it uses less digits than its factorization.

5760196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 5760196864 is about 75895.9607884372. The cubic root of 5760196864 is about 1792.5823203176.

The spelling of 5760196864 in words is "five billion, seven hundred sixty million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 157 256 304 314 361 397 608 628 722 794 1216 1256 1444 1588 2432 2512 2888 2983 3176 4864 5024 5776 5966 6352 7543 10048 11552 11932 12704 15086 20096 23104 23864 25408 30172 40192 46208 47728 50816 56677 60344 62329 92416 95456 101632 113354 120688 124658 143317 190912 226708 241376 249316 286634 381824 453416 482752 498632 573268 763648 906832 965504 997264 1146536 1184251 1813664 1931008 1994528 2293072 2368502 3627328 3989056 4586144 4737004 7254656 7978112 9172288 9474008 14509312 15956224 18344576 18948016 22500769 36689152 37896032 45001538 75792064 90003076 151584128 180006152 303168256 360012304 720024608 1440049216 2880098432 5760196864