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69132828672 = 21434113461
BaseRepresentation
bin100000001100010100…
…0110100000000000000
320121102222121120110000
41000120220310000000
52113041001004142
651431552240000
74665114230235
oct1003050640000
9217388546400
1069132828672
1127356752456
1211494540000
1366998a661b
1434bb7a378c
151be941b14c
hex1018a34000

69132828672 has 300 divisors, whose sum is σ = 208818455076. Its totient is φ = 22790799360.

The previous prime is 69132828607. The next prime is 69132828707. The reversal of 69132828672 is 27682823196.

It can be written as a sum of positive squares in 2 ways, for example, as 8923447296 + 60209381376 = 94464^2 + 245376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149962522 + ... + 149962982.

Almost surely, 269132828672 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 69132828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104409227538).

69132828672 is an abundant number, since it is smaller than the sum of its proper divisors (139685626404).

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

69132828672 is an equidigital number, since it uses as much as digits as its factorization.

69132828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 579 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 69132828672 in words is "sixty-nine billion, one hundred thirty-two million, eight hundred twenty-eight thousand, six hundred seventy-two".