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2136719736 = 233412292683
BaseRepresentation
bin111111101011011…
…1100000101111000
312111220121121110000
41333112330011320
513334000012421
6552005153000
7103643550414
oct17726740570
95456547400
102136719736
119a7139188
124b76bb760
132808a6608
14163ac7d44
15c78bc226
hex7f5bc178

2136719736 has 80 divisors (see below), whose sum is σ = 5991895800. Its totient is φ = 711395136.

The previous prime is 2136719723. The next prime is 2136719777. The reversal of 2136719736 is 6379176312.

It is a junction number, because it is equal to n+sod(n) for n = 2136719691 and 2136719700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 795051 + ... + 797733.

Almost surely, 22136719736 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 2136719736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995947900).

2136719736 is an abundant number, since it is smaller than the sum of its proper divisors (3855176064).

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

2136719736 is a wasteful number, since it uses less digits than its factorization.

2136719736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3917 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 2136719736 is about 46224.6658830543. The cubic root of 2136719736 is about 1287.9999726734. Note that the first 4 decimals are identical.

The spelling of 2136719736 in words is "two billion, one hundred thirty-six million, seven hundred nineteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1229 2458 2683 3687 4916 5366 7374 8049 9832 10732 11061 14748 16098 21464 22122 24147 29496 32196 33183 44244 48294 64392 66366 72441 88488 96588 99549 132732 144882 193176 199098 217323 265464 289764 398196 434646 579528 796392 869292 1738584 3297407 6594814 9892221 13189628 19784442 26379256 29676663 39568884 59353326 79137768 89029989 118706652 178059978 237413304 267089967 356119956 534179934 712239912 1068359868 2136719736