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54948017871792 = 2432381583457443
BaseRepresentation
bin11000111111001100101010…
…00101100001101110110000
321012112222102211201200012100
430133212111011201232300
524200232020033344132
6312510434304300400
714400602051402133
oct1437462505415660
9235488384650170
1054948017871792
1116565361662311
1261b5364011700
1324877641b99a6
14d7d6d92d821a
156544cd9a937c
hex31f995161bb0

54948017871792 has 30 divisors (see below), whose sum is σ = 153778133349932. Its totient is φ = 18316005957216.

The previous prime is 54948017871757. The next prime is 54948017871823. The reversal of 54948017871792 is 29717871084945.

54948017871792 is a `hidden beast` number, since 5 + 4 + 9 + 480 + 1 + 7 + 8 + 71 + 79 + 2 = 666.

54948017871792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54948017871792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190791728578 + ... + 190791728865.

Almost surely, 254948017871792 is an apocalyptic number.

It is an amenable number.

54948017871792 is an abundant number, since it is smaller than the sum of its proper divisors (98830115478140).

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

54948017871792 is a wasteful number, since it uses less digits than its factorization.

54948017871792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381583457457 (or 381583457448 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 72.

The spelling of 54948017871792 in words is "fifty-four trillion, nine hundred forty-eight billion, seventeen million, eight hundred seventy-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 381583457443 763166914886 1144750372329 1526333829772 2289500744658 3052667659544 3434251116987 4579001489316 6105335319088 6868502233974 9158002978632 13737004467948 18316005957264 27474008935896 54948017871792