Search a number
-
+
63312043501644 = 2237193112788111437
BaseRepresentation
bin11100110010100111110111…
…10111001110100001001100
322022011120110011120002112220
432121103323313032201030
531244301031114023034
6342353052401055340
716223100313252650
oct1631237367164114
9268146404502486
1063312043501644
111919a53a019123
12712636b327550
1329433b9393112
14118c468074a60
1574bd58e6a749
hex3994fbdce84c

63312043501644 has 384 divisors, whose sum is σ = 185121405665280. Its totient is φ = 16433586892800.

The previous prime is 63312043501639. The next prime is 63312043501687. The reversal of 63312043501644 is 44610534021336.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 63312043501596 and 63312043501605.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5535715494 + ... + 5535726930.

It is an arithmetic number, because the mean of its divisors is an integer number (482086993920).

Almost surely, 263312043501644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63312043501644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92560702832640).

63312043501644 is an abundant number, since it is smaller than the sum of its proper divisors (121809362163636).

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

63312043501644 is a wasteful number, since it uses less digits than its factorization.

63312043501644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12507 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 63312043501644 in words is "sixty-three trillion, three hundred twelve billion, forty-three million, five hundred one thousand, six hundred forty-four".