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159378980436 = 223213593574289
BaseRepresentation
bin1001010001101110111…
…0100011111001010100
3120020101101200002022100
42110123232203321110
510102402004333221
6201115004402100
714341362660354
oct2243356437124
9506341602270
10159378980436
1161657308a55
1226a7b846330
131204c6c1820
1479dd258b64
15422c1bb926
hex251bba3e54

159378980436 has 72 divisors (see below), whose sum is σ = 434597403240. Its totient is φ = 48956903424.

The previous prime is 159378980413. The next prime is 159378980437. The reversal of 159378980436 is 634089873951.

159378980436 is a `hidden beast` number, since 1 + 59 + 3 + 78 + 9 + 80 + 436 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130096836 + 159248883600 = 11406^2 + 399060^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159378980437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9621 + ... + 564668.

It is an arithmetic number, because the mean of its divisors is an integer number (6036075045).

Almost surely, 2159378980436 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 159378980436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217298701620).

159378980436 is an abundant number, since it is smaller than the sum of its proper divisors (275218422804).

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

159378980436 is a wasteful number, since it uses less digits than its factorization.

159378980436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574905 (or 574900 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 159378980436 in words is "one hundred fifty-nine billion, three hundred seventy-eight million, nine hundred eighty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 593 1186 1779 2372 3558 5337 7116 7709 10674 15418 21348 23127 30836 46254 69381 92508 138762 277524 574289 1148578 1722867 2297156 3445734 5168601 6891468 7465757 10337202 14931514 20674404 22397271 29863028 44794542 67191813 89589084 134383626 268767252 340553377 681106754 1021660131 1362213508 2043320262 3064980393 4086640524 4427193901 6129960786 8854387802 12259921572 13281581703 17708775604 26563163406 39844745109 53126326812 79689490218 159378980436