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165147650052 = 2237112110314731
BaseRepresentation
bin1001100111001110010…
…0010010100000000100
3120210021102102212100120
42121303210102200010
510201210244300202
6203511235141540
714634340602210
oct2316344224004
9523242385316
10165147650052
11640475a7900
122800b7448b0
131275b8838b8
147dc944b940
15446885c0bc
hex2673912804

165147650052 has 144 divisors (see below), whose sum is σ = 484540901376. Its totient is φ = 42853694400.

The previous prime is 165147650051. The next prime is 165147650137. The reversal of 165147650052 is 250056741561.

165147650052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 165147649986 and 165147650013.

It is not an unprimeable number, because it can be changed into a prime (165147650051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11203527 + ... + 11218257.

Almost surely, 2165147650052 is an apocalyptic number.

165147650052 is a gapful number since it is divisible by the number (12) 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 165147650052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242270450688).

165147650052 is an abundant number, since it is smaller than the sum of its proper divisors (319393251324).

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

165147650052 is a wasteful number, since it uses less digits than its factorization.

165147650052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15870 (or 15857 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 165147650052 in words is "one hundred sixty-five billion, one hundred forty-seven million, six hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1103 1452 1694 2206 2541 3309 3388 4412 5082 6618 7721 10164 12133 13236 14731 15442 23163 24266 29462 30884 36399 44193 46326 48532 58924 72798 84931 88386 92652 103117 133463 145596 162041 169862 176772 206234 254793 266926 309351 324082 339724 400389 412468 486123 509586 533852 618702 648164 800778 934241 972246 1019172 1134287 1237404 1601556 1782451 1868482 1944492 2268574 2802723 3402861 3564902 3736964 4537148 5347353 5605446 6805722 7129804 10694706 11210892 12477157 13611444 16248293 21389412 24954314 32496586 37431471 48744879 49908628 64993172 74862942 97489758 113738051 149725884 178731223 194979516 227476102 341214153 357462446 454952204 536193669 682428306 714924892 1072387338 1251118561 1364856612 1966043453 2144774676 2502237122 3753355683 3932086906 5004474244 5898130359 7506711366 7864173812 11796260718 13762304171 15013422732 23592521436 27524608342 41286912513 55049216684 82573825026 165147650052