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69824138946912 = 2535725314272423
BaseRepresentation
bin11111110000001001100101…
…11111111010100101100000
3100011020010022022000122100000
433320010302333322211200
533122444314032300122
6404300433330500000
720464425153242400
oct1770046277724540
9304203268018300
1069824138946912
1120280284140029
1279b8476a34600
132cc6507712a8c
14133571362c800
1581144585c0ac
hex3f8132ffa960

69824138946912 has 864 divisors, whose sum is σ = 244326948832512. Its totient is φ = 19551554620416.

The previous prime is 69824138946893. The next prime is 69824138946917. The reversal of 69824138946912 is 21964983142896.

69824138946912 is a `hidden beast` number, since 6 + 9 + 8 + 2 + 413 + 89 + 46 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69824138946917) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28817224933 + ... + 28817227355.

It is an arithmetic number, because the mean of its divisors is an integer number (282785820408).

Almost surely, 269824138946912 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 69824138946912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122163474416256).

69824138946912 is an abundant number, since it is smaller than the sum of its proper divisors (174502809885600).

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

69824138946912 is a wasteful number, since it uses less digits than its factorization.

69824138946912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3915 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 69824138946912 in words is "sixty-nine trillion, eight hundred twenty-four billion, one hundred thirty-eight million, nine hundred forty-six thousand, nine hundred twelve".