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135043062641256 = 23371126643204577
BaseRepresentation
bin11110101101001000101001…
…110001110011001001101000
3122201010222202020002020200010
4132231020221301303021220
5120200021143014010011
61155113532044211520
740305352660654650
oct3655105161631150
9581128666066603
10135043062641256
113a035494328500
1213190300539ba0
135a47677076463
14254c194b83360
151092ba75bb1a6
hex7ad229c73268

135043062641256 has 96 divisors (see below), whose sum is σ = 424102180259520. Its totient is φ = 35076120161280.

The previous prime is 135043062641189. The next prime is 135043062641299. The reversal of 135043062641256 is 652146260340531.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3321581961 + ... + 3321622616.

It is an arithmetic number, because the mean of its divisors is an integer number (4417731044370).

Almost surely, 2135043062641256 is an apocalyptic number.

It is an amenable number.

135043062641256 is an abundant number, since it is smaller than the sum of its proper divisors (289059117618264).

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

135043062641256 is a wasteful number, since it uses less digits than its factorization.

135043062641256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643204615 (or 6643204600 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 135043062641256 in words is "one hundred thirty-five trillion, forty-three billion, sixty-two million, six hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2541 2904 3388 5082 6776 10164 20328 6643204577 13286409154 19929613731 26572818308 39859227462 46502432039 53145636616 73075250347 79718454924 93004864078 139507296117 146150500694 159436909848 186009728156 219225751041 279014592234 292301001388 372019456312 438451502082 511526752429 558029184468 584602002776 803827753817 876903004164 1023053504858 1116058368936 1534580257287 1607655507634 1753806008328 2046107009716 2411483261451 3069160514574 3215311015268 4092214019432 4822966522902 5626794276719 6138321029148 6430622030536 9645933045804 11253588553438 12276642058296 16880382830157 19291866091608 22507177106876 33760765660314 45014354213752 67521531320628 135043062641256