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231053942752 = 2531739315179
BaseRepresentation
bin1101011100101111100…
…0110101111111100000
3211002101112202102112021
43113023320311333200
512241144302132002
6254051131511224
722456506052153
oct3271370657740
9732345672467
10231053942752
1189a97a21aa6
12389435b8514
1318a32b5a329
14b27c4b9c9a
156024887737
hex35cbe35fe0

231053942752 has 48 divisors (see below), whose sum is σ = 470198131200. Its totient is φ = 111648654720.

The previous prime is 231053942737. The next prime is 231053942753. The reversal of 231053942752 is 257249350132.

It is a super-2 number, since 2×2310539427522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231053942699 and 231053942708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231053942753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575499 + ... + 890677.

It is an arithmetic number, because the mean of its divisors is an integer number (9795794400).

Almost surely, 2231053942752 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 231053942752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235099065600).

231053942752 is an abundant number, since it is smaller than the sum of its proper divisors (239144188448).

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

231053942752 is a wasteful number, since it uses less digits than its factorization.

231053942752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315959 (or 315951 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 231053942752 in words is "two hundred thirty-one billion, fifty-three million, nine hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 739 992 1478 2956 5912 11824 22909 23648 45818 91636 183272 315179 366544 630358 733088 1260716 2521432 5042864 9770549 10085728 19541098 39082196 78164392 156328784 232917281 312657568 465834562 931669124 1863338248 3726676496 7220435711 7453352992 14440871422 28881742844 57763485688 115526971376 231053942752