Search a number
-
+
532430411112 = 23343143616393
BaseRepresentation
bin1111011111101110101…
…00110101010101101000
31212220021222202021220000
413233313110311111220
532210404141123422
61044332315303000
753316056552025
oct7576724652550
91786258667800
10532430411112
111958910a5356
1287231a4aa60
133b291bb8952
141baac36654c
15dcb2cddcac
hex7bf7535568

532430411112 has 160 divisors (see below), whose sum is σ = 1575207194880. Its totient is φ = 167757246720.

The previous prime is 532430411111. The next prime is 532430411141. The reversal of 532430411112 is 211114034235.

532430411112 is a `hidden beast` number, since 5 + 3 + 243 + 0 + 411 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (532430411111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 555588 + ... + 1171980.

It is an arithmetic number, because the mean of its divisors is an integer number (9845044968).

Almost surely, 2532430411112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532430411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787603597440).

532430411112 is an abundant number, since it is smaller than the sum of its proper divisors (1042776783768).

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

532430411112 is a wasteful number, since it uses less digits than its factorization.

532430411112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616485 (or 616472 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 532430411112 its reverse (211114034235), we get a palindrome (743544445347).

The spelling of 532430411112 in words is "five hundred thirty-two billion, four hundred thirty million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 43 54 62 72 81 86 93 108 124 129 162 172 186 216 248 258 279 324 344 372 387 516 558 648 744 774 837 1032 1116 1161 1333 1548 1674 2232 2322 2511 2666 3096 3348 3483 3999 4644 5022 5332 6696 6966 7998 9288 10044 10664 11997 13932 15996 20088 23994 27864 31992 35991 47988 71982 95976 107973 143964 215946 287928 431892 616393 863784 1232786 1849179 2465572 3698358 4931144 5547537 7396716 11095074 14793432 16642611 19108183 22190148 26504899 33285222 38216366 44380296 49927833 53009798 57324549 66570444 76432732 79514697 99855666 106019596 114649098 133140888 152865464 159029394 171973647 199711332 212039192 229298196 238544091 318058788 343947294 399422664 458596392 477088182 515920941 636117576 687894588 715632273 821651869 954176364 1031841882 1375789176 1431264546 1547762823 1643303738 1908352728 2063683764 2146896819 2464955607 2862529092 3095525646 3286607476 4127367528 4293793638 4929911214 5725058184 6191051292 6573214952 7394866821 8587587276 9859822428 12382102584 14789733642 17175174552 19719644856 22184600463 29579467284 44369200926 59158934568 66553801389 88738401852 133107602778 177476803704 266215205556 532430411112