Search a number
-
+
6382396416 = 210311672819
BaseRepresentation
bin1011111000110101…
…11010010000000000
3121110210121022221110
411330122322100000
5101032343141131
62533152523320
7314106321504
oct57432722000
917423538843
106382396416
112785772990
1212a1550540
137a9385936
14447910304
152754c0646
hex17c6ba400

6382396416 has 176 divisors, whose sum is σ = 18841570560. Its totient is φ = 1904517120.

The previous prime is 6382396403. The next prime is 6382396451. The reversal of 6382396416 is 6146932836.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2262655 + ... + 2265473.

Almost surely, 26382396416 is an apocalyptic number.

6382396416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6382396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9420785280).

6382396416 is an abundant number, since it is smaller than the sum of its proper divisors (12459174144).

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

6382396416 is a wasteful number, since it uses less digits than its factorization.

6382396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2902 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 6382396416 is about 79889.9018399697. The cubic root of 6382396416 is about 1854.9317078532.

The spelling of 6382396416 in words is "six billion, three hundred eighty-two million, three hundred ninety-six thousand, four hundred sixteen".