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20425223619360 = 25345719293171289
BaseRepresentation
bin1001010010011100111100…
…01100101100001100100000
32200022122001221201111120000
410221032132030230030200
510134121324221304420
6111235115044020000
74205450040113520
oct451163614541440
980278057644500
1020425223619360
11656531a280a4a
12235a666091600
13b52123592521
1450882c377680
15256490dc4690
hex12939e32c320

20425223619360 has 1920 divisors, whose sum is σ = 90060683328000. Its totient is φ = 4253617815552.

The previous prime is 20425223619329. The next prime is 20425223619377. The reversal of 20425223619360 is 6391632252402.

20425223619360 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 5 + 2 + 23 + 619 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 15845789596 + ... + 15845790884.

It is an arithmetic number, because the mean of its divisors is an integer number (46906605900).

Almost surely, 220425223619360 is an apocalyptic number.

20425223619360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20425223619360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45030341664000).

20425223619360 is an abundant number, since it is smaller than the sum of its proper divisors (69635459708640).

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

20425223619360 is a wasteful number, since it uses less digits than its factorization.

20425223619360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 20425223619360 in words is "twenty trillion, four hundred twenty-five billion, two hundred twenty-three million, six hundred nineteen thousand, three hundred sixty".