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54864270420336 = 24341319011713007
BaseRepresentation
bin11000111100110000101010…
…10110010110100101110000
321012020222021100010100020000
430132120111112112211300
524142344011211422321
6312404144201550000
714361545523662106
oct1436302526264560
9235228240110200
1054864270420336
1116532896386513
1261a10911a5300
13247c8a8888ba0
14d79632989c76
1565222b4ee826
hex31e615596970

54864270420336 has 200 divisors, whose sum is σ = 171098027817024. Its totient is φ = 16872423897600.

The previous prime is 54864270420331. The next prime is 54864270420347. The reversal of 54864270420336 is 63302407246845.

54864270420336 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 427 + 0 + 4 + 203 + 3 + 6 = 666.

It is a super-2 number, since 2×548642704203362 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54864270420331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31171545 + ... + 32884551.

Almost surely, 254864270420336 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 54864270420336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85549013908512).

54864270420336 is an abundant number, since it is smaller than the sum of its proper divisors (116233757396688).

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

54864270420336 is a wasteful number, since it uses less digits than its factorization.

54864270420336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714941 (or 1714926 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 54864270420336 in words is "fifty-four trillion, eight hundred sixty-four billion, two hundred seventy million, four hundred twenty thousand, three hundred thirty-six".