Search a number
-
+
14611143536 = 2411793972647
BaseRepresentation
bin11011001101110010…
…00101101101110000
31101201021102222220022
431212321011231300
5214410423043121
610413503303012
71025035446053
oct154671055560
941637388808
1014611143536
116218678440
1229b92aaa68
1314bb109982
149c8720a9a
155a7b02aab
hex366e45b70

14611143536 has 80 divisors (see below), whose sum is σ = 31364183040. Its totient is φ = 6538371840.

The previous prime is 14611143511. The next prime is 14611143563. The reversal of 14611143536 is 63534111641.

It is a junction number, because it is equal to n+sod(n) for n = 14611143496 and 14611143505.

It is a congruent number.

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, 5518565 + ... + 5521211.

It is an arithmetic number, because the mean of its divisors is an integer number (392052288).

Almost surely, 214611143536 is an apocalyptic number.

14611143536 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 14611143536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682091520).

14611143536 is an abundant number, since it is smaller than the sum of its proper divisors (16753039504).

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

14611143536 is a wasteful number, since it uses less digits than its factorization.

14611143536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3136 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The spelling of 14611143536 in words is "fourteen billion, six hundred eleven million, one hundred forty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 397 632 794 869 1264 1588 1738 2647 3176 3476 4367 5294 6352 6952 8734 10588 13904 17468 21176 29117 31363 34936 42352 58234 62726 69872 116468 125452 209113 232936 250904 344993 418226 465872 501808 689986 836452 1050859 1379972 1672904 2101718 2300243 2759944 3345808 4203436 4600486 5519888 8406872 9200972 11559449 16813744 18401944 23118898 36803888 46237796 83017861 92475592 166035722 184951184 332071444 664142888 913196471 1328285776 1826392942 3652785884 7305571768 14611143536