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69943072320 = 2634511229769
BaseRepresentation
bin100000100100011101…
…1101001011001000000
320200112110020012210000
41001020323221121000
52121220411303240
652044214440000
75024153206512
oct1011073513100
9220473205700
1069943072320
112773204a500
121167b963000
136798704c34
143557237bb2
151c45618430
hex1048ee9640

69943072320 has 840 divisors, whose sum is σ = 283272204600. Its totient is φ = 16349921280.

The previous prime is 69943072267. The next prime is 69943072333. The reversal of 69943072320 is 2327034996.

It can be written as a sum of positive squares in 4 ways, for example, as 5309162496 + 64633909824 = 72864^2 + 254232^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90952896 + ... + 90953664.

It is an arithmetic number, because the mean of its divisors is an integer number (337228815).

Almost surely, 269943072320 is an apocalyptic number.

69943072320 is a gapful number since it is divisible by the number (60) 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 69943072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141636102300).

69943072320 is an abundant number, since it is smaller than the sum of its proper divisors (213329132280).

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

69943072320 is a wasteful number, since it uses less digits than its factorization.

69943072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 69943072320 in words is "sixty-nine billion, nine hundred forty-three million, seventy-two thousand, three hundred twenty".