Search a number
-
+
1863478656 = 273313193759
BaseRepresentation
bin110111100010010…
…0110110110000000
311210212110112011000
41233010212312000
512304022304111
6504524452000
764115210244
oct15704466600
94725415130
101863478656
11876981106
124400aa000
132390b74c0
141396bc424
15ad8e6c56
hex6f126d80

1863478656 has 512 divisors, whose sum is σ = 6511680000. Its totient is φ = 519561216.

The previous prime is 1863478651. The next prime is 1863478657. The reversal of 1863478656 is 6568743681.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1863478651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31584355 + ... + 31584413.

It is an arithmetic number, because the mean of its divisors is an integer number (12718125).

Almost surely, 21863478656 is an apocalyptic number.

1863478656 is a gapful number since it is divisible by the number (16) 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 1863478656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255840000).

1863478656 is an abundant number, since it is smaller than the sum of its proper divisors (4648201344).

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

1863478656 is a wasteful number, since it uses less digits than its factorization.

1863478656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 1863478656 is about 43168.0281690049. The cubic root of 1863478656 is about 1230.5751504098.

The spelling of 1863478656 in words is "one billion, eight hundred sixty-three million, four hundred seventy-eight thousand, six hundred fifty-six".