Search a number
-
+
13066155776 = 28312173307
BaseRepresentation
bin11000010101100110…
…11011011100000000
31020201121021111010102
430022303123130000
5203224413441101
610000313021532
7641535330422
oct141263333400
936647244112
1013066155776
1155a5560253
1226479b48a8
131302cc582b
148bd46a812
1551716d86b
hex30acdb700

13066155776 has 108 divisors (see below), whose sum is σ = 27193813416. Its totient is φ = 6265313280.

The previous prime is 13066155737. The next prime is 13066155841. The reversal of 13066155776 is 67755166031.

It is a self number, because there is not a number n which added to its sum of digits gives 13066155776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42560615 + ... + 42560921.

Almost surely, 213066155776 is an apocalyptic number.

13066155776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13066155776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13596906708).

13066155776 is an abundant number, since it is smaller than the sum of its proper divisors (14127657640).

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

13066155776 is an equidigital number, since it uses as much as digits as its factorization.

13066155776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 47.

The spelling of 13066155776 in words is "thirteen billion, sixty-six million, one hundred fifty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 173 248 256 307 346 496 614 692 961 992 1228 1384 1922 1984 2456 2768 3844 3968 4912 5363 5536 7688 7936 9517 9824 10726 11072 15376 19034 19648 21452 22144 30752 38068 39296 42904 44288 53111 61504 76136 78592 85808 106222 123008 152272 166253 171616 212444 246016 295027 304544 332506 343232 424888 590054 609088 665012 686464 849776 1180108 1218176 1330024 1372928 1646441 1699552 2360216 2436352 2660048 3292882 3399104 4720432 5320096 6585764 6798208 9440864 10640192 13171528 13596416 18881728 21280384 26343056 37763456 42560768 51039671 52686112 75526912 102079342 105372224 204158684 210744448 408317368 421488896 816634736 1633269472 3266538944 6533077888 13066155776