Search a number
-
+
58354237440 = 21632547421
BaseRepresentation
bin110110010110001011…
…110000000000000000
312120121210210101221100
4312112023300000000
51424002141044230
642450233454400
74134033556062
oct662613600000
9176553711840
1058354237440
112282549a314
12b386871400
13566c7c09a5
142b78089732
1517b8014660
hexd962f0000

58354237440 has 408 divisors, whose sum is σ = 207087985728. Its totient is φ = 15193866240.

The previous prime is 58354237399. The next prime is 58354237471. The reversal of 58354237440 is 4473245385.

58354237440 is a `hidden beast` number, since 583 + 5 + 4 + 23 + 7 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138608430 + ... + 138608850.

Almost surely, 258354237440 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 58354237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103543992864).

58354237440 is an abundant number, since it is smaller than the sum of its proper divisors (148733748288).

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

58354237440 is an equidigital number, since it uses as much as digits as its factorization.

58354237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 58354237440 in words is "fifty-eight billion, three hundred fifty-four million, two hundred thirty-seven thousand, four hundred forty".