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1361816192 = 27114383271
BaseRepresentation
bin101000100101011…
…1010101010000000
310111220111102121202
41101022322222000
510242111104232
6343044240332
745514150412
oct12112725200
93456442552
101361816192
11639789730
123200a00a8
1318919c7c9
14ccc129b2
157e851162
hex512baa80

1361816192 has 128 divisors (see below), whose sum is σ = 3076254720. Its totient is φ = 595123200.

The previous prime is 1361816179. The next prime is 1361816219. The reversal of 1361816192 is 2916181631.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5025017 + ... + 5025287.

It is an arithmetic number, because the mean of its divisors is an integer number (24033240).

Almost surely, 21361816192 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 1361816192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538127360).

1361816192 is an abundant number, since it is smaller than the sum of its proper divisors (1714438528).

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

1361816192 is a wasteful number, since it uses less digits than its factorization.

1361816192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 1361816192 is about 36902.7938237744. The cubic root of 1361816192 is about 1108.4246223159.

The spelling of 1361816192 in words is "one billion, three hundred sixty-one million, eight hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 83 86 88 128 166 172 176 271 332 344 352 473 542 664 688 704 913 946 1084 1328 1376 1408 1826 1892 2168 2656 2752 2981 3569 3652 3784 4336 5312 5504 5962 7138 7304 7568 8672 10624 11653 11924 14276 14608 15136 17344 22493 23306 23848 28552 29216 30272 34688 39259 44986 46612 47696 57104 58432 60544 78518 89972 93224 95392 114208 116864 128183 157036 179944 186448 190784 228416 247423 256366 314072 359888 372896 381568 456832 494846 512732 628144 719776 745792 967199 989692 1025464 1256288 1439552 1491584 1934398 1979384 2050928 2512576 2879104 3868796 3958768 4101856 5025152 7737592 7917536 8203712 10639189 15475184 15835072 16407424 21278378 30950368 31670144 42556756 61900736 85113512 123801472 170227024 340454048 680908096 1361816192