Search a number
-
+
63390200838480 = 2434517191491811123
BaseRepresentation
bin11100110100111001011100…
…11001110011100101010000
322022110001012002101011220000
432122130232121303211100
531302041112403312410
6342453020052050000
716231535161540515
oct1632345631634520
9268401162334800
1063390200838480
111921a6a688108a
127139542003900
13294a89381b0a9
1411921601cd30c
1574ddd07a4dc0
hex39a72e673950

63390200838480 has 1600 divisors, whose sum is σ = 248616400032000. Its totient is φ = 14875216773120.

The previous prime is 63390200838431. The next prime is 63390200838493. The reversal of 63390200838480 is 8483800209336.

It is a happy number.

63390200838480 is a `hidden beast` number, since 6 + 3 + 390 + 20 + 0 + 83 + 84 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 56447195199 + ... + 56447196321.

It is an arithmetic number, because the mean of its divisors is an integer number (155385250020).

Almost surely, 263390200838480 is an apocalyptic number.

63390200838480 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 63390200838480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124308200016000).

63390200838480 is an abundant number, since it is smaller than the sum of its proper divisors (185226199193520).

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

63390200838480 is a wasteful number, since it uses less digits than its factorization.

63390200838480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 63390200838480 in words is "sixty-three trillion, three hundred ninety billion, two hundred million, eight hundred thirty-eight thousand, four hundred eighty".