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47696221344096 = 25371361859433
BaseRepresentation
bin10101101100001001001000…
…10101001001000101100000
320020212201021200011210000000
422312010210111021011200
522222423330131002341
6245235201441300000
713021636554066033
oct1266044425110540
9206781250153000
1047696221344096
1114219943568996
125423a20034600
13207c971559a50
14bac71bc3d01a
1557aa4c8c18b6
hex2b6124549160

47696221344096 has 384 divisors, whose sum is σ = 154151107447680. Its totient is φ = 14435157381120.

The previous prime is 47696221344077. The next prime is 47696221344119. The reversal of 47696221344096 is 69044312269674.

47696221344096 is a `hidden beast` number, since 4 + 7 + 6 + 9 + 6 + 2 + 213 + 4 + 409 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55067596 + ... + 55927028.

It is an arithmetic number, because the mean of its divisors is an integer number (401435175645).

Almost surely, 247696221344096 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 47696221344096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77075553723840).

47696221344096 is an abundant number, since it is smaller than the sum of its proper divisors (106454886103584).

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

47696221344096 is an equidigital number, since it uses as much as digits as its factorization.

47696221344096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859538 (or 859512 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 47696221344096 in words is "forty-seven trillion, six hundred ninety-six billion, two hundred twenty-one million, three hundred forty-four thousand, ninety-six".