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30731316732 = 223554158441
BaseRepresentation
bin11100100111101110…
…101010110111111100
32221022201101122100000
4130213232222313330
51000414204113412
622041234434300
72135356611414
oct344756526774
987281348300
1030731316732
1112040033126
125b57a32990
132b89a4a8ac
1416b7615644
15bece354dc
hex727baadfc

30731316732 has 72 divisors (see below), whose sum is σ = 80709337072. Its totient is φ = 10224662400.

The previous prime is 30731316727. The next prime is 30731316739. The reversal of 30731316732 is 23761313703.

It is a happy number.

30731316732 is a `hidden beast` number, since 307 + 3 + 1 + 316 + 7 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30731316739) 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 23 ways as a sum of consecutive naturals, for example, 496632 + ... + 555072.

Almost surely, 230731316732 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 30731316732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40354668536).

30731316732 is an abundant number, since it is smaller than the sum of its proper divisors (49978020340).

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

30731316732 is a wasteful number, since it uses less digits than its factorization.

30731316732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59001 (or 58987 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The spelling of 30731316732 in words is "thirty billion, seven hundred thirty-one million, three hundred sixteen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 541 972 1082 1623 2164 3246 4869 6492 9738 14607 19476 29214 43821 58428 58441 87642 116882 131463 175284 175323 233764 262926 350646 525852 525969 701292 1051938 1577907 2103876 3155814 4733721 6311628 9467442 14201163 18934884 28402326 31616581 56804652 63233162 94849743 126466324 189699486 284549229 379398972 569098458 853647687 1138196916 1707295374 2560943061 3414590748 5121886122 7682829183 10243772244 15365658366 30731316732