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55544616142848 = 2113272174384131
BaseRepresentation
bin11001010000100011111010…
…00111010100100000000000
321021200000100210121222211200
430220101331013110200000
524240020333213032343
6314044502215541200
714461652240132100
oct1450217507244000
9237600323558750
1055544616142848
1116775380849578
126290b0368a800
1324cbab1167421
14da0533881200
15664c99d7c4d3
hex32847d1d4800

55544616142848 has 864 divisors, whose sum is σ = 202189458350880. Its totient is φ = 14588836577280.

The previous prime is 55544616142753. The next prime is 55544616142907. The reversal of 55544616142848 is 84824161644555.

55544616142848 is a `hidden beast` number, since 5 + 5 + 5 + 4 + 4 + 6 + 1 + 614 + 2 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×555446161428482 (a number of 28 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 660173743 + ... + 660257873.

It is an arithmetic number, because the mean of its divisors is an integer number (234015576795).

Almost surely, 255544616142848 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 55544616142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101094729175440).

55544616142848 is an abundant number, since it is smaller than the sum of its proper divisors (146644842208032).

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

55544616142848 is a wasteful number, since it uses less digits than its factorization.

55544616142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84233 (or 84203 counting only the distinct ones).

The product of its digits is 147456000, while the sum is 63.

The spelling of 55544616142848 in words is "fifty-five trillion, five hundred forty-four billion, six hundred sixteen million, one hundred forty-two thousand, eight hundred forty-eight".