Search a number
-
+
63820975680000 = 29365471121719
BaseRepresentation
bin11101000001011011110101…
…00101011010101000000000
322100222020002112020111000000
432200231322211122220000
531331120324233230000
6343422541304000000
716304625162351540
oct1640557245325000
9270866075214000
1063820975680000
1119376361a64400
1271a8b23760000
13297c3a4c06016
1411a8d47697320
1575a1e3d30000
hex3a0b7a95aa00

63820975680000 has 8400 divisors, whose sum is σ = 334496022759360. Its totient is φ = 11824496640000.

The previous prime is 63820975679987. The next prime is 63820975680149. The reversal of 63820975680000 is 8657902836.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 839 ways as a sum of consecutive naturals, for example, 3358998719991 + ... + 3358998720009.

Almost surely, 263820975680000 is an apocalyptic number.

63820975680000 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 63820975680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167248011379680).

63820975680000 is an abundant number, since it is smaller than the sum of its proper divisors (270675047079360).

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

63820975680000 is an equidigital number, since it uses as much as digits as its factorization.

63820975680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 63820975680000 in words is "sixty-three trillion, eight hundred twenty billion, nine hundred seventy-five million, six hundred eighty thousand".