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83052012650280 = 2335171372811057531
BaseRepresentation
bin10010111000100100001101…
…101101100011111100101000
3101220001200202120002200211220
4102320210031231203330220
541341211010214302110
6452345322355422040
723331211203450312
oct2270441555437450
9356050676080756
1083052012650280
1124510184a85903
129394052bb4920
133745a043b815b
141671a4b60a7b2
15990590583370
hex4b890db63f28

83052012650280 has 256 divisors, whose sum is σ = 266683851221760. Its totient is φ = 20618620108800.

The previous prime is 83052012650267. The next prime is 83052012650287. The reversal of 83052012650280 is 8205621025038.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83052012650287) 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 63 ways as a sum of consecutive naturals, for example, 78005115 + ... + 79062645.

It is an arithmetic number, because the mean of its divisors is an integer number (1041733793835).

Almost surely, 283052012650280 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 83052012650280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133341925610880).

83052012650280 is an abundant number, since it is smaller than the sum of its proper divisors (183631838571480).

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

83052012650280 is a wasteful number, since it uses less digits than its factorization.

83052012650280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057980 (or 1057976 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 83052012650280 in words is "eighty-three trillion, fifty-two billion, twelve million, six hundred fifty thousand, two hundred eighty".