Search a number
-
+
468618978393 = 332329151389443
BaseRepresentation
bin1101101000110111101…
…11100010010001011001
31122210120212021122101000
412310123313202101121
530134212424302033
6555140335015213
745566546410416
oct6643367422131
91583525248330
10468618978393
111708162184a5
12769a366a509
1335262920637
141897760710d
15c2cab62a13
hex6d1bde2459

468618978393 has 128 divisors (see below), whose sum is σ = 758025216000. Its totient is φ = 285232147200.

The previous prime is 468618978337. The next prime is 468618978413. The reversal of 468618978393 is 393879816864.

468618978393 is a `hidden beast` number, since 468 + 6 + 1 + 8 + 9 + 78 + 3 + 93 = 666.

It is not a de Polignac number, because 468618978393 - 216 = 468618912857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468618958393) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1057830430 + ... + 1057830872.

It is an arithmetic number, because the mean of its divisors is an integer number (5922072000).

Almost surely, 2468618978393 is an apocalyptic number.

It is an amenable number.

468618978393 is a deficient number, since it is larger than the sum of its proper divisors (289406237607).

468618978393 is a wasteful number, since it uses less digits than its factorization.

468618978393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 468618978393 in words is "four hundred sixty-eight billion, six hundred eighteen million, nine hundred seventy-eight thousand, three hundred ninety-three".

Divisors: 1 3 9 23 27 29 69 87 151 207 261 389 443 453 621 667 783 1167 1329 1359 2001 3473 3501 3987 4077 4379 6003 8947 10189 10419 10503 11281 11961 12847 13137 18009 26841 30567 31257 33843 38541 39411 58739 66893 80523 91701 93771 100717 101529 115623 118233 172327 176217 200679 241569 259463 275103 295481 302151 304587 346869 516981 528651 602037 778389 886443 906453 1350997 1538539 1550943 1585953 1703431 1806111 1939897 2335167 2659329 2719359 3963521 4052991 4615617 4652829 4997483 5110293 5819691 7005501 7977987 11890563 12158973 13846851 14992449 15330879 17459073 26021377 35671689 36476919 39178913 41540553 44617631 44977347 45992637 52377219 78064131 107015067 114942109 117536739 133852893 134932041 234192393 344826327 352610217 401558679 598491671 702577179 754619933 1034478981 1057830651 1204676037 1795475013 2263859799 3103436943 5386425039 6791579397 16159275117 17356258459 20374738191 52068775377 156206326131 468618978393