Search a number
-
+
58281140736 = 293471315443
BaseRepresentation
bin110110010001110100…
…111010001000000000
312120102201020201010000
4312101310322020000
51423324433000421
642435103040000
74132155344130
oct662164721000
9176381221100
1058281140736
1122798203715
12b3662a0000
13565a6097c0
142b6c49cac0
1517b18c6226
hexd91d3a200

58281140736 has 400 divisors, whose sum is σ = 214110921024. Its totient is φ = 15369854976.

The previous prime is 58281140693. The next prime is 58281140747. The reversal of 58281140736 is 63704118285.

It is a junction number, because it is equal to n+sod(n) for n = 58281140691 and 58281140700.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3766231 + ... + 3781673.

Almost surely, 258281140736 is an apocalyptic number.

58281140736 is a gapful number since it is divisible by the number (56) 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 58281140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107055460512).

58281140736 is an abundant number, since it is smaller than the sum of its proper divisors (155829780288).

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

58281140736 is a wasteful number, since it uses less digits than its factorization.

58281140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15493 (or 15468 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 58281140736 in words is "fifty-eight billion, two hundred eighty-one million, one hundred forty thousand, seven hundred thirty-six".