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6881888256 = 21138571307
BaseRepresentation
bin1100110100011000…
…10100100000000000
3122202121111010221020
412122030110200000
5103043230411011
63054514425440
7332353041105
oct63214244000
918677433836
106881888256
112a11712561
121400892280
138589c0639
14493db2aac
152a4288006
hex19a314800

6881888256 has 96 divisors (see below), whose sum is σ = 18382684320. Its totient is φ = 2289532928.

The previous prime is 6881888227. The next prime is 6881888309. The reversal of 6881888256 is 6528881886.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 6881888256.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5264755 + ... + 5266061.

It is an arithmetic number, because the mean of its divisors is an integer number (191486295).

Almost surely, 26881888256 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 6881888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9191342160).

6881888256 is an abundant number, since it is smaller than the sum of its proper divisors (11500796064).

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

6881888256 is a wasteful number, since it uses less digits than its factorization.

6881888256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2169 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 60.

The square root of 6881888256 is about 82957.1471062018. The cubic root of 6881888256 is about 1902.1110659257. Note that the first 3 decimals are identical.

The spelling of 6881888256 in words is "six billion, eight hundred eighty-one million, eight hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 857 1024 1307 1536 1714 2048 2571 2614 3072 3428 3921 5142 5228 6144 6856 7842 10284 10456 13712 15684 20568 20912 27424 31368 41136 41824 54848 62736 82272 83648 109696 125472 164544 167296 219392 250944 329088 334592 438784 501888 658176 669184 877568 1003776 1120099 1316352 1338368 1755136 2007552 2240198 2632704 2676736 3360297 4015104 4480396 5265408 6720594 8030208 8960792 13441188 17921584 26882376 35843168 53764752 71686336 107529504 143372672 215059008 286745344 430118016 573490688 860236032 1146981376 1720472064 2293962752 3440944128 6881888256