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5682843264 = 27377328961
BaseRepresentation
bin1010100101011100…
…10100111010000000
3112200001021100102110
411102232110322000
543114301441024
62335523015320
7260553241110
oct52256247200
915601240373
105682843264
1124568a928a
12112720a540
136c7471a67
143bca51040
15233d8a629
hex152b94e80

5682843264 has 128 divisors (see below), whose sum is σ = 17488414080. Its totient is φ = 1601372160.

The previous prime is 5682843239. The next prime is 5682843269. The reversal of 5682843264 is 4623482865.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5682843269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181744 + ... + 210704.

It is an arithmetic number, because the mean of its divisors is an integer number (136628235).

Almost surely, 25682843264 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 5682843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744207040).

5682843264 is an abundant number, since it is smaller than the sum of its proper divisors (11805570816).

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

5682843264 is a wasteful number, since it uses less digits than its factorization.

5682843264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29058 (or 29046 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 5682843264 is about 75384.6354637336. The cubic root of 5682843264 is about 1784.5219437097.

The spelling of 5682843264 in words is "five billion, six hundred eighty-two million, eight hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 292 336 384 438 448 511 584 672 876 896 1022 1168 1344 1533 1752 2044 2336 2688 3066 3504 4088 4672 6132 7008 8176 9344 12264 14016 16352 24528 28032 28961 32704 49056 57922 65408 86883 98112 115844 173766 196224 202727 231688 347532 405454 463376 608181 695064 810908 926752 1216362 1390128 1621816 1853504 2114153 2432724 2780256 3243632 3707008 4228306 4865448 5560512 6342459 6487264 8456612 9730896 11121024 12684918 12974528 14799071 16913224 19461792 25369836 25949056 29598142 33826448 38923584 44397213 50739672 59196284 67652896 77847168 88794426 101479344 118392568 135305792 177588852 202958688 236785136 270611584 355177704 405917376 473570272 710355408 811834752 947140544 1420710816 1894281088 2841421632 5682843264