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20309121408 = 273103513479
BaseRepresentation
bin10010111010100001…
…001001100110000000
31221102101012021002210
4102322201021212000
5313043113341113
613155130542120
71316164453332
oct227241114600
957371167083
1020309121408
118681a73564
123b29597940
131bb874a404
14da9391452
157dce7c6c3
hex4ba849980

20309121408 has 64 divisors (see below), whose sum is σ = 54469958400. Its totient is φ = 6703968768.

The previous prime is 20309121379. The next prime is 20309121433. The reversal of 20309121408 is 80412190302.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217188 + ... + 296291.

It is an arithmetic number, because the mean of its divisors is an integer number (851093100).

Almost surely, 220309121408 is an apocalyptic number.

It is an amenable number.

20309121408 is an abundant number, since it is smaller than the sum of its proper divisors (34160836992).

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

20309121408 is a wasteful number, since it uses less digits than its factorization.

20309121408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513599 (or 513587 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 20309121408 in words is "twenty billion, three hundred nine million, one hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 3296 4944 6592 9888 13184 19776 39552 513479 1026958 1540437 2053916 3080874 4107832 6161748 8215664 12323496 16431328 24646992 32862656 49293984 52888337 65725312 98587968 105776674 158665011 197175936 211553348 317330022 423106696 634660044 846213392 1269320088 1692426784 2538640176 3384853568 5077280352 6769707136 10154560704 20309121408