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42933999360 = 2835710091583
BaseRepresentation
bin100111111111000100…
…001101011100000000
311002211010220010222110
4213333010031130000
51200412100434420
631420144335320
73046641654540
oct477704153400
9132733803873
1042933999360
111723213a1aa
1283a2614540
134082b98765
142114113320
1511b438eee0
hex9ff10d700

42933999360 has 288 divisors, whose sum is σ = 156963502080. Its totient is φ = 9797566464.

The previous prime is 42933999359. The next prime is 42933999391. The reversal of 42933999360 is 6399933924.

It is a self number, because there is not a number n which added to its sum of digits gives 42933999360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27121129 + ... + 27122711.

It is an arithmetic number, because the mean of its divisors is an integer number (545012160).

Almost surely, 242933999360 is an apocalyptic number.

42933999360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42933999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78481751040).

42933999360 is an abundant number, since it is smaller than the sum of its proper divisors (114029502720).

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

42933999360 is a wasteful number, since it uses less digits than its factorization.

42933999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 57.

The spelling of 42933999360 in words is "forty-two billion, nine hundred thirty-three million, nine hundred ninety-nine thousand, three hundred sixty".