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22093947920448 = 2633431672696619
BaseRepresentation
bin1010000011000001001011…
…11010101110000001000000
32220020011100012220012111000
411001200211322232001000
510343441401131423243
6114553453005052000
74440143424461445
oct501404572560100
986204305805430
1022093947920448
117048a99681a88
122589b56557000
13c435b1555c81
145654d20839cc
15284aaaac95d3
hex141825eae040

22093947920448 has 448 divisors, whose sum is σ = 67119300864000. Its totient is φ = 7122646960128.

The previous prime is 22093947920399. The next prime is 22093947920461. The reversal of 22093947920448 is 84402974939022.

It is a super-2 number, since 2×220939479204482 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3337955283 + ... + 3337961901.

It is an arithmetic number, because the mean of its divisors is an integer number (149819868000).

Almost surely, 222093947920448 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 22093947920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33559650432000).

22093947920448 is an abundant number, since it is smaller than the sum of its proper divisors (45025352943552).

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

22093947920448 is a wasteful number, since it uses less digits than its factorization.

22093947920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7119 (or 7103 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 22093947920448 in words is "twenty-two trillion, ninety-three billion, nine hundred forty-seven million, nine hundred twenty thousand, four hundred forty-eight".