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128155081376 = 25723719711213
BaseRepresentation
bin111011101011010100…
…0110101101010100000
3110020210100101200001102
41313112220311222200
54044430200101001
6134512412053532
712154542134600
oct1672650655240
9406710350042
10128155081376
114a3942254a3
1220a06a642a8
13c1148b81ca
1462ba45cc00
153500dd5e6b
hex1dd6a35aa0

128155081376 has 144 divisors (see below), whose sum is σ = 302987522376. Its totient is φ = 53163177984.

The previous prime is 128155081367. The next prime is 128155081421. The reversal of 128155081376 is 673180551821.

It can be written as a sum of positive squares in 4 ways, for example, as 125795064976 + 2360016400 = 354676^2 + 48580^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 128155081376.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11423546 + ... + 11434758.

Almost surely, 2128155081376 is an apocalyptic number.

128155081376 is a gapful number since it is divisible by the number (16) 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 128155081376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151493761188).

128155081376 is an abundant number, since it is smaller than the sum of its proper divisors (174832441000).

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

128155081376 is a wasteful number, since it uses less digits than its factorization.

128155081376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471 (or 11456 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 47.

The spelling of 128155081376 in words is "one hundred twenty-eight billion, one hundred fifty-five million, eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 197 224 259 296 392 394 518 592 784 788 1036 1184 1379 1568 1576 1813 2072 2758 3152 3626 4144 5516 6304 7252 7289 8288 9653 11032 11213 14504 14578 19306 22064 22426 29008 29156 38612 44128 44852 51023 58016 58312 77224 78491 89704 102046 116624 154448 156982 179408 204092 233248 308896 313964 357161 358816 408184 414881 549437 627928 714322 816368 829762 1098874 1255856 1428644 1632736 1659524 2197748 2208961 2511712 2857288 2904167 3319048 4395496 4417922 5714576 5808334 6638096 8790992 8835844 11429152 11616668 13276192 15462727 17581984 17671688 20329169 23233336 30925454 35343376 40658338 46466672 61850908 70686752 81316676 81731557 92933344 108239089 123701816 162633352 163463114 216478178 247403632 325266704 326926228 432956356 494807264 572120899 650533408 653852456 865912712 1144241798 1307704912 1731825424 2288483596 2615409824 3463650848 4004846293 4576967192 8009692586 9153934384 16019385172 18307868768 32038770344 64077540688 128155081376