Search a number
-
+
116066735232 = 2737173249593
BaseRepresentation
bin110110000011000011…
…1011101010010000000
3102002120220001001120120
41230012013131102000
53400201041011412
6125153104540240
711246145654120
oct1540607352200
9362526031516
10116066735232
1145250712088
121a5b2621680
13ac39360476
145890c04c80
153044a13b8c
hex1b061dd480

116066735232 has 128 divisors (see below), whose sum is σ = 354383544960. Its totient is φ = 32970104832.

The previous prime is 116066735231. The next prime is 116066735237. The reversal of 116066735232 is 232537660611.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (116066735231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340228 + ... + 589820.

It is an arithmetic number, because the mean of its divisors is an integer number (2768621445).

Almost surely, 2116066735232 is an apocalyptic number.

116066735232 is a gapful number since it is divisible by the number (12) 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 116066735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177191772480).

116066735232 is an abundant number, since it is smaller than the sum of its proper divisors (238316809728).

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

116066735232 is a wasteful number, since it uses less digits than its factorization.

116066735232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249790 (or 249778 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 116066735232 in words is "one hundred sixteen billion, sixty-six million, seven hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 173 192 224 336 346 384 448 519 672 692 896 1038 1211 1344 1384 2076 2422 2688 2768 3633 4152 4844 5536 7266 8304 9688 11072 14532 16608 19376 22144 29064 33216 38752 58128 66432 77504 116256 155008 232512 249593 465024 499186 748779 998372 1497558 1747151 1996744 2995116 3494302 3993488 5241453 5990232 6988604 7986976 10482906 11980464 13977208 15973952 20965812 23960928 27954416 31947904 41931624 43179589 47921856 55908832 83863248 86359178 95843712 111817664 129538767 167726496 172718356 223635328 259077534 302257123 335452992 345436712 518155068 604514246 670905984 690873424 906771369 1036310136 1209028492 1381746848 1813542738 2072620272 2418056984 2763493696 3627085476 4145240544 4836113968 5526987392 7254170952 8290481088 9672227936 14508341904 16580962176 19344455872 29016683808 38688911744 58033367616 116066735232