Search a number
-
+
642218444478 = 2331319364313217
BaseRepresentation
bin10010101100001110011…
…00111100011010111110
32021101200022022020201000
421112013030330122332
541010230410210403
61211010414031130
764253525464662
oct11260714743276
92241608266630
10642218444478
112283aa629826
12a45717a84a6
134873a4cb7c0
14231253308a2
1511a8b4b67a3
hex958733c6be

642218444478 has 128 divisors (see below), whose sum is σ = 1618390771200. Its totient is φ = 187139828736.

The previous prime is 642218444477. The next prime is 642218444513. The reversal of 642218444478 is 874444812246.

It is a happy number.

It is a super-3 number, since 3×6422184444783 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642218444477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48583726 + ... + 48596942.

It is an arithmetic number, because the mean of its divisors is an integer number (12643677900).

Almost surely, 2642218444478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642218444478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809195385600).

642218444478 is an abundant number, since it is smaller than the sum of its proper divisors (976172326722).

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

642218444478 is a wasteful number, since it uses less digits than its factorization.

642218444478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16903 (or 16897 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 54.

The spelling of 642218444478 in words is "six hundred forty-two billion, two hundred eighteen million, four hundred forty-four thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 3643 4446 6669 7286 10929 13217 13338 21858 26434 32787 39651 47359 65574 69217 79302 94718 98361 118953 138434 142077 171821 196722 207651 237906 251123 284154 343642 356859 415302 426231 502246 515463 622953 713718 753369 852462 899821 1030926 1245906 1278693 1506738 1546389 1799642 1868859 2260107 2557386 2699463 3092778 3264599 3737718 4520214 4639167 5398926 6529198 6780321 8098389 9278334 9793797 13560642 16196778 19587594 24295167 29381391 48149531 48590334 58762782 88144173 96299062 144448593 176288346 288897186 433345779 625943903 866691558 914841089 1251887806 1300037337 1829682178 1877831709 2600074674 2744523267 3755663418 5489046534 5633495127 8233569801 11266990254 11892934157 16467139602 16900485381 23785868314 24700709403 33800970762 35678802471 49401418806 71357604942 107036407413 214072814826 321109222239 642218444478