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20512356480928 = 2513269457401101
BaseRepresentation
bin1001010100111111001111…
…01110001011011110100000
32200121221222101120111011001
410222133213232023132200
510142033301224342203
6111343125123401344
74214653213164064
oct452374756133640
980557871514131
1020512356480928
116599272528544
122373522823254
13b5a3cb3ab390
1450cb36575aa4
152588906a391d
hex12a7e7b8b7a0

20512356480928 has 96 divisors (see below), whose sum is σ = 43747441068240. Its totient is φ = 9411384729600.

The previous prime is 20512356480919. The next prime is 20512356480947. The reversal of 20512356480928 is 82908465321502.

It can be written as a sum of positive squares in 8 ways, for example, as 1364625821584 + 19147730659344 = 1168172^2 + 4375812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50939578 + ... + 51340678.

Almost surely, 220512356480928 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 20512356480928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873720534120).

20512356480928 is an abundant number, since it is smaller than the sum of its proper divisors (23235084587312).

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

20512356480928 is a wasteful number, since it uses less digits than its factorization.

20512356480928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401850 (or 401842 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 20512356480928 in words is "twenty trillion, five hundred twelve billion, three hundred fifty-six million, four hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 269 416 457 538 914 1076 1828 2152 3497 3656 4304 5941 6994 7312 8608 11882 13988 14624 23764 27976 47528 55952 95056 111904 122933 190112 245866 401101 491732 802202 983464 1598129 1604404 1966928 3196258 3208808 3933856 5214313 6392516 6417616 10428626 12785032 12835232 20857252 25570064 41714504 51140128 83429008 107896169 166858016 183303157 215792338 366606314 431584676 733212628 863169352 1402650197 1466425256 1726338704 2382941041 2805300394 2932850512 3452677408 4765882082 5610600788 5865701024 9531764164 11221201576 19063528328 22442403152 38127056656 44884806304 49308549233 76254113312 98617098466 197234196932 394468393864 641011140029 788936787728 1282022280058 1577873575456 2564044560116 5128089120232 10256178240464 20512356480928