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10848040672 = 257294735531
BaseRepresentation
bin10100001101001011…
…11111011011100000
31001000000111120020011
422012211333123200
5134204044300142
64552235054304
7532552552510
oct120645773340
931000446204
1010848040672
114667488577
122128ba1394
13103b5c09a1
1474ca35840
15437574417
hex28697f6e0

10848040672 has 96 divisors (see below), whose sum is σ = 25787704320. Its totient is φ = 4393213440.

The previous prime is 10848040669. The next prime is 10848040691. The reversal of 10848040672 is 27604084801.

It is a super-3 number, since 3×108480406723 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287547 + ... + 323077.

It is an arithmetic number, because the mean of its divisors is an integer number (268621920).

Almost surely, 210848040672 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 10848040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893852160).

10848040672 is an abundant number, since it is smaller than the sum of its proper divisors (14939663648).

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

10848040672 is a wasteful number, since it uses less digits than its factorization.

10848040672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35624 (or 35616 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 10848040672 in words is "ten billion, eight hundred forty-eight million, forty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 47 56 58 94 112 116 188 203 224 232 329 376 406 464 658 752 812 928 1316 1363 1504 1624 2632 2726 3248 5264 5452 6496 9541 10528 10904 19082 21808 35531 38164 43616 71062 76328 142124 152656 248717 284248 305312 497434 568496 994868 1030399 1136992 1669957 1989736 2060798 3339914 3979472 4121596 6679828 7212793 7958944 8243192 11689699 13359656 14425586 16486384 23379398 26719312 28851172 32972768 46758796 48428753 53438624 57702344 93517592 96857506 115404688 187035184 193715012 230809376 339001271 374070368 387430024 678002542 774860048 1356005084 1549720096 2712010168 5424020336 10848040672