Search a number
-
+
687910995216 = 2434230392
BaseRepresentation
bin10100000001010101011…
…00001100010100010000
32102202121200220022210000
422000222230030110100
542232320203321331
61244004424010000
7100462034660424
oct12005254142420
92382550808700
10687910995216
11245817906455
12b13a4000900
134cb3ca41483
142541b958b84
1512d62b050e6
hexa02ab0c510

687910995216 has 75 divisors (see below), whose sum is σ = 1991100422311. Its totient is φ = 229293712224.

The previous prime is 687910995209. The next prime is 687910995217. The reversal of 687910995216 is 612599019786.

The square root of 687910995216 is 829404.

It is a perfect power (a square), and thus also a powerful number.

687910995216 is a `hidden beast` number, since 6 + 8 + 7 + 9 + 10 + 99 + 521 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (687910995217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29847025 + ... + 29870063.

Almost surely, 2687910995216 is an apocalyptic number.

687910995216 is the 829404-th square number.

It is an amenable number.

687910995216 is an abundant number, since it is smaller than the sum of its proper divisors (1303189427095).

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

687910995216 is an frugal number, since it uses more digits than its factorization.

687910995216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46098 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 687910995216 in words is "six hundred eighty-seven billion, nine hundred ten million, nine hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 23039 46078 69117 92156 138234 184312 207351 276468 368624 414702 552936 622053 829404 1105872 1244106 1658808 1866159 2488212 3317616 3732318 4976424 7464636 9952848 14929272 29858544 530795521 1061591042 1592386563 2123182084 3184773126 4246364168 4777159689 6369546252 8492728336 9554319378 12739092504 14331479067 19108638756 25478185008 28662958134 38217277512 42994437201 57325916268 76434555024 85988874402 114651832536 171977748804 229303665072 343955497608 687910995216