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20895455568 = 24313113401739
BaseRepresentation
bin10011011101011101…
…110101100101010000
31222221020111010100210
4103131131311211100
5320243214034233
613333234044120
71336544304351
oct233535654520
958836433323
1020895455568
118952a38049
124071a19640
131c8006c9c0
1410231bbd28
1582469b163
hex4dd775950

20895455568 has 160 divisors (see below), whose sum is σ = 58872481920. Its totient is φ = 6347980800.

The previous prime is 20895455551. The next prime is 20895455573. The reversal of 20895455568 is 86555459802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28274943 + ... + 28275681.

It is an arithmetic number, because the mean of its divisors is an integer number (367953012).

Almost surely, 220895455568 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 20895455568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29436240960).

20895455568 is an abundant number, since it is smaller than the sum of its proper divisors (37977026352).

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

20895455568 is a wasteful number, since it uses less digits than its factorization.

20895455568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 57.

The spelling of 20895455568 in words is "twenty billion, eight hundred ninety-five million, four hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 226 312 339 401 452 624 678 739 802 904 1203 1356 1469 1478 1604 1808 2217 2406 2712 2938 2956 3208 4407 4434 4812 5213 5424 5876 5912 6416 8814 8868 9607 9624 10426 11752 11824 15639 17628 17736 19214 19248 20852 23504 28821 31278 35256 35472 38428 41704 45313 57642 62556 70512 76856 83408 83507 90626 115284 125112 135939 153712 167014 181252 230568 250224 250521 271878 296339 334028 362504 461136 501042 543756 589069 592678 668056 725008 889017 1002084 1085591 1087512 1178138 1185356 1336112 1767207 1778034 2004168 2171182 2175024 2356276 2370712 3256773 3534414 3556068 3852407 4008336 4342364 4712552 4741424 6513546 7068828 7112136 7704814 8684728 9425104 11557221 13027092 14137656 14224272 15409628 17369456 23114442 26054184 28275312 30819256 33486307 46228884 52108368 61638512 66972614 92457768 100458921 133945228 184915536 200917842 267890456 401835684 435321991 535780912 803671368 870643982 1305965973 1607342736 1741287964 2611931946 3482575928 5223863892 6965151856 10447727784 20895455568