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10073674320 = 2435232962929
BaseRepresentation
bin10010110000111000…
…00001001001010000
3222000001101200021220
421120130001021100
5131112330034240
64343333445040
7504430550613
oct113034011120
928001350256
1010073674320
1142aa365686
121b517a0780
13c47044548
146b7c6017a
153de5b25d0
hex258701250

10073674320 has 160 divisors (see below), whose sum is σ = 33710342400. Its totient is φ = 2480873472.

The previous prime is 10073674267. The next prime is 10073674333. The reversal of 10073674320 is 2347637001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128616 + ... + 191544.

It is an arithmetic number, because the mean of its divisors is an integer number (210689640).

Almost surely, 210073674320 is an apocalyptic number.

10073674320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10073674320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855171200).

10073674320 is an abundant number, since it is smaller than the sum of its proper divisors (23636668080).

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

10073674320 is a wasteful number, since it uses less digits than its factorization.

10073674320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62997 (or 62991 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 10073674320 in words is "ten billion, seventy-three million, six hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 29 30 40 46 48 58 60 69 80 87 92 115 116 120 138 145 174 184 230 232 240 276 290 345 348 368 435 460 464 552 580 667 690 696 870 920 1104 1160 1334 1380 1392 1740 1840 2001 2320 2668 2760 3335 3480 4002 5336 5520 6670 6960 8004 10005 10672 13340 16008 20010 26680 32016 40020 53360 62929 80040 125858 160080 188787 251716 314645 377574 503432 629290 755148 943935 1006864 1258580 1447367 1510296 1824941 1887870 2517160 2894734 3020592 3649882 3775740 4342101 5034320 5474823 5789468 7236835 7299764 7551480 8684202 9124705 10949646 11578936 14473670 14599528 15102960 17368404 18249410 21710505 21899292 23157872 27374115 28947340 29199056 34736808 36498820 41973643 43421010 43798584 54748230 57894680 69473616 72997640 83947286 86842020 87597168 109496460 115789360 125920929 145995280 167894572 173684040 209868215 218992920 251841858 335789144 347368080 419736430 437985840 503683716 629604645 671578288 839472860 1007367432 1259209290 1678945720 2014734864 2518418580 3357891440 5036837160 10073674320