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54878523870240 = 2533574014525601
BaseRepresentation
bin11000111101001011001101…
…11010111100110000100000
321012022100001200111121201000
430132211212322330300200
524143112204102321430
6312414502410512000
714362561660211460
oct1436454672746040
9235270050447630
1054878523870240
1116538940054384
1261a39aa735600
13248103a847805
14d7a1c5999ba0
156527b29e8e60
hex31e966ebcc20

54878523870240 has 384 divisors, whose sum is σ = 220061560803840. Its totient is φ = 12512378880000.

The previous prime is 54878523870199. The next prime is 54878523870253. The reversal of 54878523870240 is 4207832587845.

54878523870240 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 8 + 5 + 2 + 387 + 0 + 240 = 666.

54878523870240 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 (63).

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 63 ways as a sum of consecutive naturals, for example, 9863440 + ... + 14389040.

It is an arithmetic number, because the mean of its divisors is an integer number (573076981260).

Almost surely, 254878523870240 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 54878523870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110030780401920).

54878523870240 is an abundant number, since it is smaller than the sum of its proper divisors (165183036933600).

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

54878523870240 is a wasteful number, since it uses less digits than its factorization.

54878523870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526033 (or 4526019 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 54878523870240 in words is "fifty-four trillion, eight hundred seventy-eight billion, five hundred twenty-three million, eight hundred seventy thousand, two hundred forty".