Search a number
-
+
63069290496 = 216341092
BaseRepresentation
bin111010101111001110…
…010000000000000000
320000210101222220210000
4322233032100000000
52013131214243441
644550145440000
74361626060332
oct725716200000
9200711886700
1063069290496
1124824a74483
1210281940000
135c415c2304
1430a4375452
151991e322b6
hexeaf390000

63069290496 has 255 divisors, whose sum is σ = 190172355681. Its totient is φ = 20830224384.

The previous prime is 63069290483. The next prime is 63069290513. The reversal of 63069290496 is 69409296036.

The square root of 63069290496 is 251136.

It is a perfect power (a square), and thus also a powerful number.

63069290496 is a `hidden beast` number, since 6 + 3 + 0 + 69 + 2 + 90 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43958992896 + 19110297600 = 209664^2 + 138240^2 .

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

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 14 ways as a sum of consecutive naturals, for example, 578617290 + ... + 578617398.

Almost surely, 263069290496 is an apocalyptic number.

63069290496 is the 251136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63069290496

63069290496 is an abundant number, since it is smaller than the sum of its proper divisors (127103065185).

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

63069290496 is an frugal number, since it uses more digits than its factorization.

63069290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 63069290496 in words is "sixty-three billion, sixty-nine million, two hundred ninety thousand, four hundred ninety-six".