Search a number
-
+
514273540704 = 25371169571637
BaseRepresentation
bin1110111101111010001…
…01110111101001100000
31211011102121101201010020
413132331011313221200
531411213011300304
61032130510433440
752104114653550
oct7367505675140
91734377351106
10514273540704
11189114008930
1283805202880
133965a322251
141ac68b83160
15d59dc9a5d9
hex77bd177a60

514273540704 has 96 divisors (see below), whose sum is σ = 1683077066496. Its totient is φ = 133577541120.

The previous prime is 514273540633. The next prime is 514273540717. The reversal of 514273540704 is 407045372415.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34778427 + ... + 34793210.

It is an arithmetic number, because the mean of its divisors is an integer number (17532052776).

Almost surely, 2514273540704 is an apocalyptic number.

It is an amenable number.

514273540704 is an abundant number, since it is smaller than the sum of its proper divisors (1168803525792).

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

514273540704 is a wasteful number, since it uses less digits than its factorization.

514273540704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69571668 (or 69571660 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 514273540704 in words is "five hundred fourteen billion, two hundred seventy-three million, five hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 69571637 139143274 208714911 278286548 417429822 487001459 556573096 765288007 834859644 974002918 1113146192 1461004377 1530576014 1669719288 1948005836 2226292384 2295864021 2922008754 3061152028 3339438576 3896011672 4591728042 5357016049 5844017508 6122304056 6678877152 7792023344 9183456084 10714032098 11688035016 12244608112 15584046688 16071048147 18366912168 21428064196 23376070032 24489216224 32142096294 36733824336 42856128392 46752140064 64284192588 73467648672 85712256784 128568385176 171424513568 257136770352 514273540704