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20852520399936 = 26318292
BaseRepresentation
bin1001011110111000110110…
…00100100011010001000000
32201211111000000000000000000
410233130123010203101000
510213121430210244221
6112203303213000000
74251354615611301
oct457343304432100
981744000000000
1020852520399936
11670a560161635
122409436a83000
13b834cc222a24
145213a59547a8
1526264de27e26
hex12f71b123440

20852520399936 has 399 divisors, whose sum is σ = 64282938292261. Its totient is φ = 6711155990784.

The previous prime is 20852520399917. The next prime is 20852520400009. The reversal of 20852520399936 is 63999302525802.

The square root of 20852520399936 is 4566456.

It is a perfect power (a square), and thus also a powerful number.

20852520399936 is a `hidden beast` number, since 20 + 8 + 52 + 520 + 3 + 9 + 9 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10934555881536 + 9917964518400 = 3306744^2 + 3149280^2 .

It is a Duffinian 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 56 ways as a sum of consecutive naturals, for example, 719052427570 + ... + 719052427598.

Almost surely, 220852520399936 is an apocalyptic number.

20852520399936 is the 4566456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20852520399936

20852520399936 is an abundant number, since it is smaller than the sum of its proper divisors (43430417892325).

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

20852520399936 is an frugal number, since it uses more digits than its factorization.

20852520399936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 20852520399936 in words is "twenty trillion, eight hundred fifty-two billion, five hundred twenty million, three hundred ninety-nine thousand, nine hundred thirty-six".