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161821793940 = 223529253936629
BaseRepresentation
bin1001011010110101010…
…1001001111010010100
3120110200122020212110120
42112231111021322110
510122402334401230
6202201230351540
714456044360542
oct2265525117224
9513618225416
10161821793940
11626a0202994
122744195b5b0
131234b81a7c1
147b91860d92
15432189d310
hex25ad549e94

161821793940 has 96 divisors (see below), whose sum is σ = 468922608000. Its totient is φ = 41646915072.

The previous prime is 161821793929. The next prime is 161821793941. The reversal of 161821793940 is 49397128161.

161821793940 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161821793941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4399546 + ... + 4436174.

It is an arithmetic number, because the mean of its divisors is an integer number (4884610500).

Almost surely, 2161821793940 is an apocalyptic number.

161821793940 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 161821793940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234461304000).

161821793940 is an abundant number, since it is smaller than the sum of its proper divisors (307100814060).

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

161821793940 is a wasteful number, since it uses less digits than its factorization.

161821793940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39209 (or 39207 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 161821793940 in words is "one hundred sixty-one billion, eight hundred twenty-one million, seven hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 2539 5078 7617 10156 12695 15234 25390 30468 36629 38085 50780 73258 73631 76170 109887 146516 147262 152340 183145 219774 220893 294524 366290 368155 439548 441786 549435 732580 736310 883572 1062241 1098870 1104465 1472620 2124482 2197740 2208930 3186723 4248964 4417860 5311205 6373446 10622410 12746892 15933615 21244820 31867230 63734460 93001031 186002062 279003093 372004124 465005155 558006186 930010310 1116012372 1395015465 1860020620 2697029899 2790030930 5394059798 5580061860 8091089697 10788119596 13485149495 16182179394 26970298990 32364358788 40455448485 53940597980 80910896970 161821793940