Search a number
-
+
58982693209440 = 253571113417729389
BaseRepresentation
bin11010110100100111110100…
…11110100000010101100000
321201211200122022012001001020
431122103322132200111200
530212333023430200230
6325240135235205440
715265234060044150
oct1532237236402540
9251750568161036
1058982693209440
1117880468706320
1267472a8746880
1326bb075b849a0
14107cac5990760
156c441dc63810
hex35a4fa7a0560

58982693209440 has 768 divisors, whose sum is σ = 249527882741760. Its totient is φ = 11310270382080.

The previous prime is 58982693209421. The next prime is 58982693209483. The reversal of 58982693209440 is 4490239628985.

It is a super-2 number, since 2×589826932094402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 2006950266 + ... + 2006979654.

It is an arithmetic number, because the mean of its divisors is an integer number (324906097320).

Almost surely, 258982693209440 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 58982693209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124763941370880).

58982693209440 is an abundant number, since it is smaller than the sum of its proper divisors (190545189532320).

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

58982693209440 is a wasteful number, since it uses less digits than its factorization.

58982693209440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33615 (or 33607 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 58982693209440 in words is "fifty-eight trillion, nine hundred eighty-two billion, six hundred ninety-three million, two hundred nine thousand, four hundred forty".