Search a number
-
+
46503257657868 = 2232112937109443121
BaseRepresentation
bin10101001001011011000100…
…01001110101001000001100
320002122200000222112102221100
422210231202021311020030
522043402132430022433
6242523145053303100
712536515035055224
oct1244554211651014
9202580028472840
1046503257657868
11138a9a14679550
125270786a94a90
131cc4313950a1b
14b6aaac005084
155599ca7c4b13
hex2a4b6227520c

46503257657868 has 144 divisors (see below), whose sum is σ = 136243553715360. Its totient is φ = 13238239795200.

The previous prime is 46503257657849. The next prime is 46503257657869. The reversal of 46503257657868 is 86875675230564.

46503257657868 is a `hidden beast` number, since 4 + 6 + 503 + 2 + 5 + 7 + 6 + 57 + 8 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46503257657796 and 46503257657805.

It is not an unprimeable number, because it can be changed into a prime (46503257657869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54296653 + ... + 55146468.

It is an arithmetic number, because the mean of its divisors is an integer number (946135789690).

Almost surely, 246503257657868 is an apocalyptic number.

It is an amenable number.

46503257657868 is an abundant number, since it is smaller than the sum of its proper divisors (89740296057492).

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

46503257657868 is a wasteful number, since it uses less digits than its factorization.

46503257657868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109443208 (or 109443203 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 46503257657868 in words is "forty-six trillion, five hundred three billion, two hundred fifty-seven million, six hundred fifty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 37 44 58 66 74 87 99 111 116 132 148 174 198 222 261 319 333 348 396 407 444 522 638 666 814 957 1044 1073 1221 1276 1332 1628 1914 2146 2442 2871 3219 3663 3828 4292 4884 5742 6438 7326 9657 11484 11803 12876 14652 19314 23606 35409 38628 47212 70818 106227 141636 212454 424908 109443121 218886242 328329363 437772484 656658726 984988089 1203874331 1313317452 1969976178 2407748662 3173850509 3611622993 3939952356 4049395477 4815497324 6347701018 7223245986 8098790954 9521551527 10834868979 12148186431 12695402036 14446491972 16197581908 19043103054 21669737958 24296372862 28564654581 34912355599 36444559293 38086206108 43339475916 44543350247 48592745724 57129309162 69824711198 72889118586 89086700494 104737066797 114258618324 117432468833 133630050741 139649422396 145778237172 178173400988 209474133594 234864937666 267260101482 314211200391 352297406499 400890152223 418948267188 469729875332 534520202964 628422400782 704594812998 801780304446 1056892219497 1256844801564 1291757157163 1409189625996 1603560608892 2113784438994 2583514314326 3875271471489 4227568877988 5167028628652 7750542942978 11625814414467 15501085885956 23251628828934 46503257657868