Search a number
-
+
2134985616 = 2432191097159
BaseRepresentation
bin111111101000001…
…0100101110010000
312111210100111200100
41333100110232100
513333024014431
6551504052400
7103623035601
oct17720245620
95453314610
102134985616
119a6164325
124b7004100
1328041a1ca
14163795da8
15c76784e6
hex7f414b90

2134985616 has 120 divisors (see below), whose sum is σ = 6348056000. Its totient is φ = 667927296.

The previous prime is 2134985599. The next prime is 2134985639. The reversal of 2134985616 is 6165894312.

2134985616 is a `hidden beast` number, since 21 + 3 + 4 + 9 + 8 + 5 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294645 + ... + 301803.

Almost surely, 22134985616 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 2134985616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174028000).

2134985616 is an abundant number, since it is smaller than the sum of its proper divisors (4213070384).

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

2134985616 is a wasteful number, since it uses less digits than its factorization.

2134985616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7301 (or 7292 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2134985616 is about 46205.9045577511. The cubic root of 2134985616 is about 1287.6514398294.

The spelling of 2134985616 in words is "two billion, one hundred thirty-four million, nine hundred eighty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 109 114 144 152 171 218 228 304 327 342 436 456 654 684 872 912 981 1308 1368 1744 1962 2071 2616 2736 3924 4142 5232 6213 7159 7848 8284 12426 14318 15696 16568 18639 21477 24852 28636 33136 37278 42954 49704 57272 64431 74556 85908 99408 114544 128862 136021 149112 171816 257724 272042 298224 343632 408063 515448 544084 780331 816126 1030896 1088168 1224189 1560662 1632252 2176336 2340993 2448378 3121324 3264504 4681986 4896756 6242648 6529008 7022979 9363972 9793512 12485296 14045958 14826289 18727944 19587024 28091916 29652578 37455888 44478867 56183832 59305156 88957734 112367664 118610312 133436601 177915468 237220624 266873202 355830936 533746404 711661872 1067492808 2134985616