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20288784256 = 271343283553
BaseRepresentation
bin10010111001010011…
…100100011110000000
31221100221221000202221
4102321103210132000
5313022412044011
613153123020424
71315526551336
oct227123443600
957327830687
1020288784256
1186715429a4
123b2280a714
131bb44796b0
14da67b9b56
157db2b1971
hex4b94e4780

20288784256 has 64 divisors (see below), whose sum is σ = 44540662320. Its totient is φ = 9146253312.

The previous prime is 20288784253. The next prime is 20288784259. The reversal of 20288784256 is 65248788202.

It is an interprime number because it is at equal distance from previous prime (20288784253) and next prime (20288784259).

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

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20288784253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70225 + ... + 213328.

Almost surely, 220288784256 is an apocalyptic number.

20288784256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20288784256 is an abundant number, since it is smaller than the sum of its proper divisors (24251878064).

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

20288784256 is a wasteful number, since it uses less digits than its factorization.

20288784256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283623 (or 283611 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 20288784256 in words is "twenty billion, two hundred eighty-eight million, seven hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 344 416 559 688 832 1118 1376 1664 2236 2752 4472 5504 8944 17888 35776 71552 283553 567106 1134212 2268424 3686189 4536848 7372378 9073696 12192779 14744756 18147392 24385558 29489512 36294784 48771116 58979024 97542232 117958048 158506127 195084464 235916096 317012254 390168928 471832192 634024508 780337856 1268049016 1560675712 2536098032 5072196064 10144392128 20288784256