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5782954768 = 2423314491129
BaseRepresentation
bin1010110001011000…
…01110001100010000
3112221000122112120221
411120230032030100
543320414023033
62353500442424
7263210206303
oct53054161420
915830575527
105782954768
1124a8366568
121154849414
13712124236
143cc070b3a
1523ca6312d
hex158b0e310

5782954768 has 80 divisors (see below), whose sum is σ = 12106368000. Its totient is φ = 2668216320.

The previous prime is 5782954759. The next prime is 5782954781. The reversal of 5782954768 is 8674592875.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5121628 + ... + 5122756.

It is an arithmetic number, because the mean of its divisors is an integer number (151329600).

Almost surely, 25782954768 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 5782954768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053184000).

5782954768 is an abundant number, since it is smaller than the sum of its proper divisors (6323413232).

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

5782954768 is a wasteful number, since it uses less digits than its factorization.

5782954768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 61.

The square root of 5782954768 is about 76045.7412877276. The cubic root of 5782954768 is about 1794.9399832510.

The spelling of 5782954768 in words is "five billion, seven hundred eighty-two million, nine hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 449 496 713 898 1129 1426 1796 2258 2852 3592 4516 5704 7184 9032 10327 11408 13919 18064 20654 25967 27838 34999 41308 51934 55676 69998 82616 103868 111352 139996 165232 207736 222704 279992 320137 415472 506921 559984 640274 804977 1013842 1280548 1609954 2027684 2561096 3219908 4055368 5122192 6439816 8110736 11659183 12879632 15714551 23318366 31429102 46636732 62858204 93273464 125716408 186546928 251432816 361434673 722869346 1445738692 2891477384 5782954768