Search a number
-
+
231015838752 = 253529708827
BaseRepresentation
bin1101011100100110011…
…1011111010000100000
3211002021220001112200000
43113021213133100200
512241110023320002
6254043251100000
722455534141606
oct3271147372040
9732256045600
10231015838752
1189a78466996
12389328a1600
1318a27ca879a
14b2773db876
15602135c61c
hex35c99df420

231015838752 has 72 divisors (see below), whose sum is σ = 681282843696. Its totient is φ = 77005276992.

The previous prime is 231015838733. The next prime is 231015838759. The reversal of 231015838752 is 257838510132.

231015838752 is a `hidden beast` number, since 2 + 3 + 10 + 1 + 583 + 8 + 7 + 52 = 666.

231015838752 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 231015838698 and 231015838707.

It is not an unprimeable number, because it can be changed into a prime (231015838759) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14846638 + ... + 14862189.

It is an arithmetic number, because the mean of its divisors is an integer number (9462261718).

Almost surely, 2231015838752 is an apocalyptic number.

It is an amenable number.

231015838752 is an abundant number, since it is smaller than the sum of its proper divisors (450267004944).

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

231015838752 is an equidigital number, since it uses as much as digits as its factorization.

231015838752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29708852 (or 29708832 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 231015838752 in words is "two hundred thirty-one billion, fifteen million, eight hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 29708827 59417654 89126481 118835308 178252962 237670616 267379443 356505924 475341232 534758886 713011848 802138329 950682464 1069517772 1426023696 1604276658 2139035544 2406414987 2852047392 3208553316 4278071088 4812829974 6417106632 7219244961 8556142176 9625659948 12834213264 14438489922 19251319896 25668426528 28876979844 38502639792 57753959688 77005279584 115507919376 231015838752