Search a number
-
+
642463466880 = 27351746142697
BaseRepresentation
bin10010101100101011100…
…11101000010110000000
32021102022101100200020210
421112111303220112000
541011231121420010
61211051005434120
764262562236004
oct11262563502600
92242271320223
10642463466880
11228515972784
12a461b86b940
13487791ba681
1423149ab2704
1511aa2c65b20
hex9595ce8580

642463466880 has 256 divisors, whose sum is σ = 2173068596160. Its totient is φ = 160892190720.

The previous prime is 642463466873. The next prime is 642463466903. The reversal of 642463466880 is 88664364246.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 642463466880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15025692 + ... + 15068388.

Almost surely, 2642463466880 is an apocalyptic number.

642463466880 is a gapful number since it is divisible by the number (60) 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 642463466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086534298080).

642463466880 is an abundant number, since it is smaller than the sum of its proper divisors (1530605129280).

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

642463466880 is a wasteful number, since it uses less digits than its factorization.

642463466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43197 (or 43185 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 57.

The spelling of 642463466880 in words is "six hundred forty-two billion, four hundred sixty-three million, four hundred sixty-six thousand, eight hundred eighty".