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135550316464626 = 23725325763337661
BaseRepresentation
bin11110110100100001000100…
…011101100100100111110010
3122202221111001121122100220110
4132310201010131210213302
5120231324022003332001
61200142542234122150
740360121130221400
oct3664410435444762
9582844047570813
10135550316464626
113a210625944848
1213252686880356
135a83455c7abbb
142568955516470
1510a0e94e553d6
hex7b48447649f2

135550316464626 has 96 divisors (see below), whose sum is σ = 321325609894848. Its totient is φ = 37996344946560.

The previous prime is 135550316464597. The next prime is 135550316464657. The reversal of 135550316464626 is 626464613055531.

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 47 ways as a sum of consecutive naturals, for example, 401270236 + ... + 401607896.

It is an arithmetic number, because the mean of its divisors is an integer number (3347141769738).

Almost surely, 2135550316464626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135550316464626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160662804947424).

135550316464626 is an abundant number, since it is smaller than the sum of its proper divisors (185775293430222).

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

135550316464626 is a wasteful number, since it uses less digits than its factorization.

135550316464626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363496 (or 363489 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 57.

The spelling of 135550316464626 in words is "one hundred thirty-five trillion, five hundred fifty billion, three hundred sixteen million, four hundred sixty-four thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 742 1113 2226 2597 5194 7791 15582 25763 51526 77289 154578 180341 337661 360682 541023 675322 1012983 1082046 1262387 1365439 2025966 2363627 2524774 2730878 3787161 4096317 4727254 7090881 7574322 8192634 9558073 14181762 16545389 17896033 19116146 28674219 33090778 35792066 49636167 53688099 57348438 66906511 99272334 107376198 125272231 133813022 200719533 250544462 375816693 401439066 751633386 876905617 1753811234 2630716851 5261433702 8699160343 17398320686 26097481029 52194962058 60894122401 121788244802 182682367203 365364734406 426258856807 461055498179 852517713614 922110996358 1278776570421 1383166494537 2557553140842 2766332989074 3227388487253 6454776974506 9682165461759 19364330923518 22591719410771 45183438821542 67775158232313 135550316464626