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31132206048 = 2532373193147
BaseRepresentation
bin11100111111100111…
…111100001111100000
32222100122201221002110
4130333213330033200
51002224321043143
622145115115320
72151325246056
oct347747741740
988318657073
1031132206048
1112226356209
12604a142b40
132c21b10bc8
14171496c1d6
15c23222533
hex73f9fc3e0

31132206048 has 96 divisors (see below), whose sum is σ = 86443773696. Its totient is φ = 9790184448.

The previous prime is 31132206037. The next prime is 31132206067. The reversal of 31132206048 is 84060223113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×311322060483 (a number of 32 digits) contains 333 as substring.

It is a zygodrome in base 2.

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, 64611 + ... + 257757.

It is an arithmetic number, because the mean of its divisors is an integer number (900455976).

Almost surely, 231132206048 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 31132206048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43221886848).

31132206048 is an abundant number, since it is smaller than the sum of its proper divisors (55311567648).

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

31132206048 is a wasteful number, since it uses less digits than its factorization.

31132206048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193256 (or 193248 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 31132206048 in words is "thirty-one billion, one hundred thirty-two million, two hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 73 92 96 138 146 184 219 276 292 368 438 552 584 736 876 1104 1168 1679 1752 2208 2336 3358 3504 5037 6716 7008 10074 13432 20148 26864 40296 53728 80592 161184 193147 386294 579441 772588 1158882 1545176 2317764 3090352 4442381 4635528 6180704 8884762 9271056 13327143 14099731 17769524 18542112 26654286 28199462 35539048 42299193 53308572 56398924 71078096 84598386 106617144 112797848 142156192 169196772 213234288 225595696 324293813 338393544 426468576 451191392 648587626 676787088 972881439 1297175252 1353574176 1945762878 2594350504 3891525756 5188701008 7783051512 10377402016 15566103024 31132206048