Search a number
-
+
63625681980 = 223357142911779
BaseRepresentation
bin111011010000011000…
…101101110000111100
320002020011221112102000
4323100120231300330
52020301133310410
645121303102300
74411463242050
oct732030556074
9202204845360
1063625681980
1124a90047653
12103b8141990
135ccc95ca43
143118209c60
1519c5bd8dc0
hexed062dc3c

63625681980 has 192 divisors, whose sum is σ = 226402176000. Its totient is φ = 14531602176.

The previous prime is 63625681913. The next prime is 63625681981. The reversal of 63625681980 is 8918652636.

It is a happy number.

63625681980 is a `hidden beast` number, since 6 + 3 + 62 + 568 + 19 + 8 + 0 = 666.

63625681980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63625681981) 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, 5395731 + ... + 5407509.

It is an arithmetic number, because the mean of its divisors is an integer number (1179178000).

Almost surely, 263625681980 is an apocalyptic number.

63625681980 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 63625681980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113201088000).

63625681980 is an abundant number, since it is smaller than the sum of its proper divisors (162776494020).

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

63625681980 is a wasteful number, since it uses less digits than its factorization.

63625681980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13233 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 63625681980 in words is "sixty-three billion, six hundred twenty-five million, six hundred eighty-one thousand, nine hundred eighty".