Search a number
-
+
53146466340 = 2235113110923831
BaseRepresentation
bin110001011111110001…
…101011100000100100
312002011212110020000020
4301133301223200210
51332320443410330
640225401115140
73561006340002
oct613761534044
9162155406006
1053146466340
11205a2881860
12a372788ab0
13501c8b6926
142802581a72
1515b0c1b210
hexc5fc6b824

53146466340 has 192 divisors, whose sum is σ = 169119498240. Its totient is φ = 12353472000.

The previous prime is 53146466333. The next prime is 53146466353. The reversal of 53146466340 is 4366464135.

53146466340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53146466292 and 53146466301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2218225 + ... + 2242055.

It is an arithmetic number, because the mean of its divisors is an integer number (880830720).

Almost surely, 253146466340 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 53146466340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84559749120).

53146466340 is an abundant number, since it is smaller than the sum of its proper divisors (115973031900).

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

53146466340 is a wasteful number, since it uses less digits than its factorization.

53146466340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23994 (or 23992 counting only the distinct ones).

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

The spelling of 53146466340 in words is "fifty-three billion, one hundred forty-six million, four hundred sixty-six thousand, three hundred forty".