Search a number
-
+
666610688419128 = 23335981236439469
BaseRepresentation
bin1001011110010001110110010…
…1010010010110010100111000
310020102021100201000211020201000
42113210131211102112110320
51144333222142213403003
610321432420030125000
7260261014200645645
oct22744354522262470
93212240630736630
10666610688419128
11183448007120532
126292174a950760
13227c616c87895b
14ba881b539cdcc
1552101190ba1a3
hex25e4765496538

666610688419128 has 128 divisors (see below), whose sum is σ = 1883313154080000. Its totient is φ = 218410475584896.

The previous prime is 666610688419127. The next prime is 666610688419147. The reversal of 666610688419128 is 821914886016666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666610688419127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100299778 + ... + 106739246.

It is an arithmetic number, because the mean of its divisors is an integer number (14713384016250).

Almost surely, 2666610688419128 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 666610688419128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941656577040000).

666610688419128 is an abundant number, since it is smaller than the sum of its proper divisors (1216702465660872).

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

666610688419128 is a wasteful number, since it uses less digits than its factorization.

666610688419128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447666 (or 6447656 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 666610688419128 in words is "six hundred sixty-six trillion, six hundred ten billion, six hundred eighty-eight million, four hundred nineteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 4248 6372 8123 12744 16246 24369 32492 48738 64984 73107 97476 146214 194952 219321 292428 438642 479257 584856 877284 958514 1437771 1754568 1917028 2875542 3834056 4313313 5751084 6439469 8626626 11502168 12878938 12939939 17253252 19318407 25757876 25879878 34506504 38636814 51515752 51759756 57955221 77273628 103519512 115910442 154547256 173865663 231820884 347731326 379928671 463641768 695462652 759857342 1139786013 1390925304 1519714684 2279572026 3039429368 3419358039 4559144052 6838716078 9118288104 10258074117 13677432156 20516148234 27354864312 41032296468 52307806687 82064592936 104615613374 156923420061 209231226748 313846840122 418462453496 470770260183 627693680244 941540520366 1255387360488 1412310780549 1883081040732 2824621561098 3086160594533 3766162081464 5649243122196 6172321189066 9258481783599 11298486244392 12344642378132 18516963567198 24689284756264 27775445350797 37033927134396 55550890701594 74067854268792 83326336052391 111101781403188 166652672104782 222203562806376 333305344209564 666610688419128