Search a number
-
+
6345600016 = 247676471307
BaseRepresentation
bin1011110100011101…
…00010110000010000
3121101020100212202211
411322032202300100
5100443433200031
62525400121504
7313151465410
oct57216426020
917336325684
106345600016
112766a20238
121291166294
137a1871312
14442a92640
15272152bb1
hex17a3a2c10

6345600016 has 80 divisors (see below), whose sum is σ = 14293656576. Its totient is φ = 2672765568.

The previous prime is 6345599989. The next prime is 6345600043. The reversal of 6345600016 is 6100065436.

It is an interprime number because it is at equal distance from previous prime (6345599989) and next prime (6345600043).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4854435 + ... + 4855741.

Almost surely, 26345600016 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 6345600016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146828288).

6345600016 is an abundant number, since it is smaller than the sum of its proper divisors (7948056560).

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

6345600016 is a wasteful number, since it uses less digits than its factorization.

6345600016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 6345600016 is about 79659.2745133923. The cubic root of 6345600016 is about 1851.3600922145.

The spelling of 6345600016 in words is "six billion, three hundred forty-five million, six hundred thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 647 938 1072 1294 1307 1876 2588 2614 3752 4529 5176 5228 7504 9058 9149 10352 10456 18116 18298 20912 36232 36596 43349 72464 73192 86698 87569 146384 173396 175138 303443 346792 350276 606886 612983 693584 700552 845629 1213772 1225966 1401104 1691258 2427544 2451932 3382516 4855088 4903864 5919403 6765032 9807728 11838806 13530064 23677612 47355224 56657143 94710448 113314286 226628572 396600001 453257144 793200002 906514288 1586400004 3172800008 6345600016