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159082641280 = 2752979108497
BaseRepresentation
bin1001010000101000010…
…0000111011110000000
3120012121202001111102001
42110022010013132000
510101300124010110
6201025341033344
714331134065663
oct2241204073600
9505552044361
10159082641280
1161515004a62
12269b8555854
13120031a6104
1479b1b596da
15421118263a
hex250a107780

159082641280 has 128 divisors (see below), whose sum is σ = 398404656000. Its totient is φ = 60660547584.

The previous prime is 159082641253. The next prime is 159082641283. The reversal of 159082641280 is 82146280951.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 159082641280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159082641283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1411992 + ... + 1520488.

It is an arithmetic number, because the mean of its divisors is an integer number (3112536375).

Almost surely, 2159082641280 is an apocalyptic number.

159082641280 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 159082641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199202328000).

159082641280 is an abundant number, since it is smaller than the sum of its proper divisors (239322014720).

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

159082641280 is a wasteful number, since it uses less digits than its factorization.

159082641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108624 (or 108612 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 159082641280 in words is "one hundred fifty-nine billion, eighty-two million, six hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 79 80 116 128 145 158 160 232 290 316 320 395 464 580 632 640 790 928 1160 1264 1580 1856 2291 2320 2528 3160 3712 4582 4640 5056 6320 9164 9280 10112 11455 12640 18328 18560 22910 25280 36656 45820 50560 73312 91640 108497 146624 183280 216994 293248 366560 433988 542485 733120 867976 1084970 1466240 1735952 2169940 3146413 3471904 4339880 6292826 6943808 8571263 8679760 12585652 13887616 15732065 17142526 17359520 25171304 31464130 34285052 34719040 42856315 50342608 62928260 68570104 69438080 85712630 100685216 125856520 137140208 171425260 201370432 248566627 251713040 274280416 342850520 402740864 497133254 503426080 548560832 685701040 994266508 1006852160 1097121664 1242833135 1371402080 1988533016 2013704320 2485666270 2742804160 3977066032 4971332540 5485608320 7954132064 9942665080 15908264128 19885330160 31816528256 39770660320 79541320640 159082641280