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5769099520 = 2857695861
BaseRepresentation
bin1010101111101110…
…10111100100000000
3112220001120121202121
411113313113210000
543303342141040
62352243454024
7262651352062
oct52767274400
915801517677
105769099520
1124a0562948
121150087314
1370c2b2972
143ca2a5732
1523b727c4a
hex157dd7900

5769099520 has 72 divisors (see below), whose sum is σ = 13839126840. Its totient is φ = 2304245760.

The previous prime is 5769099503. The next prime is 5769099547. The reversal of 5769099520 is 259909675.

It can be written as a sum of positive squares in 4 ways, for example, as 333281536 + 5435817984 = 18256^2 + 73728^2 .

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 7 ways as a sum of consecutive naturals, for example, 981390 + ... + 987250.

It is an arithmetic number, because the mean of its divisors is an integer number (192210095).

Almost surely, 25769099520 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 5769099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919563420).

5769099520 is an abundant number, since it is smaller than the sum of its proper divisors (8070027320).

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

5769099520 is an equidigital number, since it uses as much as digits as its factorization.

5769099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 52.

The square root of 5769099520 is about 75954.5885381522. The cubic root of 5769099520 is about 1793.5053517993.

The spelling of 5769099520 in words is "five billion, seven hundred sixty-nine million, ninety-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 769 1280 1538 3076 3845 5861 6152 7690 11722 12304 15380 23444 24608 29305 30760 46888 49216 58610 61520 93776 98432 117220 123040 187552 196864 234440 246080 375104 468880 492160 750208 937760 984320 1500416 1875520 3751040 4507109 7502080 9014218 18028436 22535545 36056872 45071090 72113744 90142180 144227488 180284360 288454976 360568720 576909952 721137440 1153819904 1442274880 2884549760 5769099520