Search a number
-
+
230649815411520 = 26355989277165181
BaseRepresentation
bin110100011100011001011000…
…010100001010101101000000
31010020122220111012122222101020
4310130121120110022231000
5220212431310221132040
62134315021252105440
766403620304616001
oct6434313024125500
91106586435588336
10230649815411520
116754604585398a
1221a51590605280
139b91251aa8a9b
1440d57212551a8
151b9eae7267cd0
hexd1c65850ab40

230649815411520 has 448 divisors, whose sum is σ = 755816273683200. Its totient is φ = 59568570040320.

The previous prime is 230649815411501. The next prime is 230649815411557. The reversal of 230649815411520 is 25114518946032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1396263330 + ... + 1396428510.

Almost surely, 2230649815411520 is an apocalyptic number.

230649815411520 is a gapful number since it is divisible by the number (20) 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 230649815411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377908136841600).

230649815411520 is an abundant number, since it is smaller than the sum of its proper divisors (525166458271680).

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

230649815411520 is a wasteful number, since it uses less digits than its factorization.

230649815411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165626 (or 165616 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 230649815411520 in words is "two hundred thirty trillion, six hundred forty-nine billion, eight hundred fifteen million, four hundred eleven thousand, five hundred twenty".