Search a number
-
+
42659975688 = 23311317173417
BaseRepresentation
bin100111101110101110…
…111001001000001000
311002010001021022011120
4213232232321020020
51144331423210223
631333035155240
73040103544651
oct475656711010
9132101238146
1042659975688
1117101498160
1283268a5b20
13403b194385
1420c9982528
15119a2b2be3
hex9eebb9208

42659975688 has 128 divisors (see below), whose sum is σ = 121791651840. Its totient is φ = 12333888000.

The previous prime is 42659975681. The next prime is 42659975693. The reversal of 42659975688 is 88657995624.

42659975688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42659975681) 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, 544356 + ... + 617772.

It is an arithmetic number, because the mean of its divisors is an integer number (951497280).

Almost surely, 242659975688 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 42659975688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60895825920).

42659975688 is an abundant number, since it is smaller than the sum of its proper divisors (79131676152).

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

42659975688 is a wasteful number, since it uses less digits than its factorization.

42659975688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73539 (or 73535 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 69.

The spelling of 42659975688 in words is "forty-two billion, six hundred fifty-nine million, nine hundred seventy-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 71 88 93 124 132 142 186 213 248 264 284 341 372 426 568 682 744 781 852 1023 1364 1562 1704 2046 2201 2343 2728 3124 4092 4402 4686 6248 6603 8184 8804 9372 13206 17608 18744 24211 26412 48422 52824 72633 73417 96844 145266 146834 193688 220251 290532 293668 440502 581064 587336 807587 881004 1615174 1762008 2275927 2422761 3230348 4551854 4845522 5212607 6460696 6827781 9103708 9691044 10425214 13655562 15637821 18207416 19382088 20850428 25035197 27311124 31275642 41700856 50070394 54622248 57338677 62551284 75105591 100140788 114677354 125102568 150211182 161590817 172016031 200281576 229354708 300422364 323181634 344032062 458709416 484772451 600844728 646363268 688064124 969544902 1292726536 1376128248 1777498987 1939089804 3554997974 3878179608 5332496961 7109995948 10664993922 14219991896 21329987844 42659975688