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348819052848 = 24372354318311
BaseRepresentation
bin1010001001101110011…
…11000101100100110000
31020100100210120212102120
411010313033011210300
521203340134142343
6424124550514240
734126030012440
oct5046717054460
91210323525376
10348819052848
11124a2a297272
125772a965980
1326b80018426
1412c50aa2120
15911852d683
hex51373c5930

348819052848 has 160 divisors (see below), whose sum is σ = 1074949865472. Its totient is φ = 95300409600.

The previous prime is 348819052793. The next prime is 348819052859. The reversal of 348819052848 is 848250918843.

It is a super-2 number, since 2×3488190528482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348819052791 and 348819052800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41966613 + ... + 41974923.

Almost surely, 2348819052848 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 348819052848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537474932736).

348819052848 is an abundant number, since it is smaller than the sum of its proper divisors (726130812624).

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

348819052848 is a wasteful number, since it uses less digits than its factorization.

348819052848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13783 (or 13777 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 348819052848 in words is "three hundred forty-eight billion, eight hundred nineteen million, fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 5431 7728 8311 10862 16293 16622 21724 24933 32586 33244 38017 43448 49866 58177 65172 66488 76034 86896 99732 114051 116354 124913 130344 132976 152068 174531 191153 199464 228102 232708 249826 260688 304136 349062 374739 382306 398928 456204 465416 499652 573459 608272 698124 749478 764612 874391 912408 930832 999304 1146918 1338071 1396248 1498956 1529224 1748782 1824816 1998608 2293836 2623173 2676142 2792496 2997912 3058448 3497564 4014213 4587672 5246346 5352284 5995824 6995128 8028426 9175344 10492692 10704568 13990256 16056852 20985384 21409136 32113704 41970768 45137041 64227408 90274082 135411123 180548164 270822246 315959287 361096328 541644492 631918574 722192656 947877861 1038151943 1083288984 1263837148 1895755722 2076303886 2166577968 2527674296 3114455829 3791511444 4152607772 5055348592 6228911658 7267063601 7583022888 8305215544 12457823316 14534127202 15166045776 16610431088 21801190803 24915646632 29068254404 43602381606 49831293264 58136508808 87204763212 116273017616 174409526424 348819052848