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54023456960 = 26511193171367
BaseRepresentation
bin110010010100000011…
…001000100011000000
312011102222122221222022
4302110003020203000
51341120001110320
640452410101012
73621515543654
oct622403104300
9164388587868
1054023456960
1120a029188a0
12a57841a768
13512c4b51a5
142886c2ca64
151612c00325
hexc940c88c0

54023456960 has 448 divisors, whose sum is σ = 155058831360. Its totient is φ = 17708544000.

The previous prime is 54023456959. The next prime is 54023456969. The reversal of 54023456960 is 6965432045.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (54023456969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147202697 + ... + 147203063.

Almost surely, 254023456960 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 54023456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77529415680).

54023456960 is an abundant number, since it is smaller than the sum of its proper divisors (101035374400).

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

54023456960 is a wasteful number, since it uses less digits than its factorization.

54023456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 54023456960 in words is "fifty-four billion, twenty-three million, four hundred fifty-six thousand, nine hundred sixty".