Search a number
-
+
6268669056 = 27351337419
BaseRepresentation
bin1011101011010010…
…00100110010000000
3121011212121101100000
411311221010302000
5100314234402211
62514011200000
7311225544036
oct56551046200
917155541300
106268669056
112727555931
12126b446000
1378b946b40
14436788556
1526a508656
hex175a44c80

6268669056 has 384 divisors, whose sum is σ = 20739700800. Its totient is φ = 1872211968.

The previous prime is 6268668997. The next prime is 6268669081. The reversal of 6268669056 is 6509668626.

6268669056 is a `hidden beast` number, since 626 + 8 + 6 + 6 + 9 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×62686690562 = 78592423467303862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6268668993 and 6268669011.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14960815 + ... + 14961233.

Almost surely, 26268669056 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 6268669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10369850400).

6268669056 is an abundant number, since it is smaller than the sum of its proper divisors (14471031744).

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

6268669056 is a wasteful number, since it uses less digits than its factorization.

6268669056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 6268669056 is about 79174.9269402884. The cubic root of 6268669056 is about 1843.8479899413.

The spelling of 6268669056 in words is "six billion, two hundred sixty-eight million, six hundred sixty-nine thousand, fifty-six".