Search a number
-
+
80157811875108 = 223112924478557363
BaseRepresentation
bin10010001110011100110001…
…111001110001110100100100
3101111211000022201201220120020
4102032130301321301310210
541001301144320000413
6442251553532435140
722612132205663562
oct2216346171616444
9344730281656506
1080157811875108
11235a4812103720
128ba7155018ab0
133595b06997686
1415b1931a3ca32
1594014e252c23
hex48e731e71d24

80157811875108 has 96 divisors (see below), whose sum is σ = 211160144885760. Its totient is φ = 23443064346240.

The previous prime is 80157811875103. The next prime is 80157811875179.

80157811875108 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (80157811875103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5088435 + ... + 13645797.

It is an arithmetic number, because the mean of its divisors is an integer number (2199584842560).

Almost surely, 280157811875108 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 80157811875108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105580072442880).

80157811875108 is an abundant number, since it is smaller than the sum of its proper divisors (131002333010652).

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

80157811875108 is a wasteful number, since it uses less digits than its factorization.

80157811875108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8559857 (or 8559855 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 60.

The spelling of 80157811875108 in words is "eighty trillion, one hundred fifty-seven billion, eight hundred eleven million, eight hundred seventy-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 2447 3828 4894 7341 9788 14682 26917 29364 53834 70963 80751 107668 141926 161502 212889 283852 323004 425778 780593 851556 1561186 2341779 3122372 4683558 8557363 9367116 17114726 25672089 34229452 51344178 94130993 102688356 188261986 248163527 282392979 376523972 496327054 564785958 744490581 992654108 1129571916 1488981162 2729798797 2977962324 5459597594 8189396391 10919195188 16378792782 20939867261 32757585564 41879734522 62819601783 83759469044 125639203566 230338539871 251278407132 460677079742 607256150569 691015619613 921354159484 1214512301138 1382031239226 1821768451707 2429024602276 2764062478452 3643536903414 6679817656259 7287073806828 13359635312518 20039452968777 26719270625036 40078905937554 80157811875108