Search a number
-
+
26958142392 = 233431072411013
BaseRepresentation
bin11001000110110101…
…001001101110111000
32120120202111112012020
4121012311021232320
5420202241024032
620215010314440
71643022300216
oct310665115670
976522445166
1026958142392
1110484194425
125284288a20
13270811665c
14143a467cb6
15a7ba67b2c
hex646d49bb8

26958142392 has 128 divisors (see below), whose sum is σ = 69965026560. Its totient is φ = 8650414080.

The previous prime is 26958142373. The next prime is 26958142403. The reversal of 26958142392 is 29324185962.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26611678 + ... + 26612690.

It is an arithmetic number, because the mean of its divisors is an integer number (546601770).

Almost surely, 226958142392 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 26958142392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34982513280).

26958142392 is an abundant number, since it is smaller than the sum of its proper divisors (43006884168).

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

26958142392 is a wasteful number, since it uses less digits than its factorization.

26958142392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1409 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The spelling of 26958142392 in words is "twenty-six billion, nine hundred fifty-eight million, one hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 107 129 172 214 241 258 321 344 428 482 516 642 723 856 964 1013 1032 1284 1446 1928 2026 2568 2892 3039 4052 4601 5784 6078 8104 9202 10363 12156 13803 18404 20726 24312 25787 27606 31089 36808 41452 43559 51574 55212 62178 77361 82904 87118 103148 108391 110424 124356 130677 154722 174236 206296 216782 244133 248712 261354 309444 325173 348472 433564 488266 522708 618888 650346 732399 867128 976532 1045416 1108841 1300692 1464798 1953064 2217682 2601384 2929596 3326523 4435364 4660813 5859192 6653046 8870728 9321626 10497719 13306092 13982439 18643252 20995438 26122231 26612184 27964878 31493157 37286504 41990876 52244462 55929756 62986314 78366693 83981752 104488924 111859512 125972628 156733386 208977848 251945256 313466772 626933544 1123255933 2246511866 3369767799 4493023732 6739535598 8986047464 13479071196 26958142392