Search a number
-
+
232888876332156 = 2233111290111519517
BaseRepresentation
bin110100111100111110101010…
…101111101111010001111100
31010112120221220012210212122000
4310330332222233233101330
5221011122404320112111
62143151401154222300
7100024444313461122
oct6474765257572174
91115527805725560
10232888876332156
116822968831a760
1222153511584990
139cc4432cb46c5
144171c4b783912
151bdce92a05c56
hexd3cfaabef47c

232888876332156 has 96 divisors (see below), whose sum is σ = 658681148885760. Its totient is φ = 70571793297600.

The previous prime is 232888876332109. The next prime is 232888876332163. The reversal of 232888876332156 is 651233678888232.

232888876332156 is a `hidden beast` number, since 2 + 3 + 288 + 8 + 8 + 7 + 6 + 332 + 1 + 5 + 6 = 666.

It is a super-2 number, since 2×2328888763321562 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152505310 + ... + 154024826.

It is an arithmetic number, because the mean of its divisors is an integer number (6861261967560).

Almost surely, 2232888876332156 is an apocalyptic number.

It is an amenable number.

232888876332156 is an abundant number, since it is smaller than the sum of its proper divisors (425792272553604).

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

232888876332156 is a wasteful number, since it uses less digits than its factorization.

232888876332156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648552 (or 1648544 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 232888876332156 in words is "two hundred thirty-two trillion, eight hundred eighty-eight billion, eight hundred seventy-six million, three hundred thirty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 129011 258022 387033 516044 774066 1161099 1419121 1519517 1548132 2322198 2838242 3039034 3483297 4257363 4558551 4644396 5676484 6078068 6966594 8514726 9117102 12772089 13675653 13933188 16714687 17029452 18234204 25544178 27351306 33429374 38316267 41026959 50144061 51088356 54702612 66858748 76632534 82053918 100288122 150432183 153265068 164107836 200576244 300864366 451296549 601728732 902593098 1805186196 196034407687 392068815374 588103223061 784137630748 1176206446122 1764309669183 2156378484557 2352412892244 3528619338366 4312756969114 5292929007549 6469135453671 7057238676732 8625513938228 10585858015098 12938270907342 19407406361013 21171716030196 25876541814684 38814812722026 58222219083039 77629625444052 116444438166078 232888876332156