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232445541361520 = 24511387192949077
BaseRepresentation
bin110100110110100001110001…
…111011000010011101110000
31010111000120120102211220110202
4310312201301323002131300
5220431341432042032040
62142212001343214332
766650431130423624
oct6466416173023560
91114016512756422
10232445541361520
116807866728a543
12220a16055a73a8
139c9169c6b9206
1441585d2133184
151bd1696966015
hexd36871ec2770

232445541361520 has 80 divisors (see below), whose sum is σ = 545281219232640. Its totient is φ = 92144799731712.

The previous prime is 232445541361513. The next prime is 232445541361543. The reversal of 232445541361520 is 25163145544232.

232445541361520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77345222 + ... + 80294298.

It is an arithmetic number, because the mean of its divisors is an integer number (6816015240408).

Almost surely, 2232445541361520 is an apocalyptic number.

232445541361520 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 232445541361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272640609616320).

232445541361520 is an abundant number, since it is smaller than the sum of its proper divisors (312835677871120).

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

232445541361520 is a wasteful number, since it uses less digits than its factorization.

232445541361520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957922 (or 2957916 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 47.

The spelling of 232445541361520 in words is "two hundred thirty-two trillion, four hundred forty-five billion, five hundred forty-one million, three hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 8719 9040 17438 34876 43595 69752 87190 139504 174380 348760 697520 985247 1970494 2949077 3940988 4926235 5898154 7881976 9852470 11796308 14745385 15763952 19704940 23592616 29490770 39409880 47185232 58981540 78819760 117963080 235926160 333245701 666491402 1332982804 1666228505 2665965608 3332457010 5331931216 6664914020 13329828040 25713002363 26659656080 51426004726 102852009452 128565011815 205704018904 257130023630 411408037808 514260047260 1028520094520 2057040189040 2905569267019 5811138534038 11622277068076 14527846335095 23244554136152 29055692670190 46489108272304 58111385340380 116222770680760 232445541361520