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69493000032 = 2535232831373
BaseRepresentation
bin100000010111000011…
…0110000011101100000
320122101002100011200000
41000232012300131200
52114310202000112
651531420100000
75010046516431
oct1005606603540
9218332304600
1069493000032
1127520a94535
1211575094600
1367263b1381
14351355b488
151c1ad637dc
hex102e1b0760

69493000032 has 288 divisors, whose sum is σ = 214762399488. Its totient is φ = 22062813696.

The previous prime is 69493000007. The next prime is 69493000037. The reversal of 69493000032 is 23000039496.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 (69493000037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50613298 + ... + 50614670.

It is an arithmetic number, because the mean of its divisors is an integer number (745702776).

Almost surely, 269493000032 is an apocalyptic number.

69493000032 is the 131808-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69493000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107381199744).

69493000032 is an abundant number, since it is smaller than the sum of its proper divisors (145269399456).

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

69493000032 is a wasteful number, since it uses less digits than its factorization.

69493000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 69493000032 in words is "sixty-nine billion, four hundred ninety-three million, thirty-two", and thus it is an aban number.