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161326914240 = 26351301129169
BaseRepresentation
bin1001011000111111010…
…1010101101011000000
3120102102011001101010210
42112033311111223000
510120344142223430
6202040151354120
714440555100562
oct2261765255300
9512364041123
10161326914240
11624669234a8
1227324082940
13122a013918b
147b45c3d332
1542e31e72b0
hex258fd55ac0

161326914240 has 112 divisors (see below), whose sum is σ = 512610628320. Its totient is φ = 42987110400.

The previous prime is 161326914209. The next prime is 161326914241. The reversal of 161326914240 is 42419623161.

161326914240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (161326914241) 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 15 ways as a sum of consecutive naturals, for example, 1184376 + ... + 1313544.

It is an arithmetic number, because the mean of its divisors is an integer number (4576880610).

Almost surely, 2161326914240 is an apocalyptic number.

161326914240 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 161326914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256305314160).

161326914240 is an abundant number, since it is smaller than the sum of its proper divisors (351283714080).

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

161326914240 is a wasteful number, since it uses less digits than its factorization.

161326914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130490 (or 130480 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 161326914240 in words is "one hundred sixty-one billion, three hundred twenty-six million, nine hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1301 2602 3903 5204 6505 7806 10408 13010 15612 19515 20816 26020 31224 39030 41632 52040 62448 78060 83264 104080 124896 129169 156120 208160 249792 258338 312240 387507 416320 516676 624480 645845 775014 1033352 1248960 1291690 1550028 1937535 2066704 2583380 3100056 3875070 4133408 5166760 6200112 7750140 8266816 10333520 12400224 15500280 20667040 24800448 31000560 41334080 62001120 124002240 168048869 336097738 504146607 672195476 840244345 1008293214 1344390952 1680488690 2016586428 2520733035 2688781904 3360977380 4033172856 5041466070 5377563808 6721954760 8066345712 10082932140 10755127616 13443909520 16132691424 20165864280 26887819040 32265382848 40331728560 53775638080 80663457120 161326914240