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31324745088 = 273672131731
BaseRepresentation
bin11101001011000110…
…011010110110000000
32222212002000221000000
4131023012122312000
51003123113320323
622220154000000
72156153640300
oct351306326600
988762027000
1031324745088
111231500268a
1260a2716000
132c52985230
14173236b600
15c350a5e43
hex74b19ad80

31324745088 has 1344 divisors, whose sum is σ = 128110792320. Its totient is φ = 7524679680.

The previous prime is 31324744987. The next prime is 31324745129. The reversal of 31324745088 is 88054742313.

31324745088 is a `hidden beast` number, since 3 + 132 + 4 + 7 + 4 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1010475633 + ... + 1010475663.

It is an arithmetic number, because the mean of its divisors is an integer number (95320530).

Almost surely, 231324745088 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 31324745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64055396160).

31324745088 is an abundant number, since it is smaller than the sum of its proper divisors (96786047232).

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

31324745088 is a wasteful number, since it uses less digits than its factorization.

31324745088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 31324745088 in words is "thirty-one billion, three hundred twenty-four million, seven hundred forty-five thousand, eighty-eight".