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54623639955456 = 211361113255851
BaseRepresentation
bin11000110101110000011101…
…01001111110100000000000
321011101222011101110012000000
430122320032221332200000
524124423203312033311
6312101430452000000
714335266501532215
oct1432701651764000
9234358141405000
1054623639955456
111644a8347a0720
126162516600000
132462caa9b3120
14d6bb266a3b0c
1564ad46059056
hex31ae0ea7e800

54623639955456 has 672 divisors, whose sum is σ = 192385424518560. Its totient is φ = 15279280128000.

The previous prime is 54623639955439. The next prime is 54623639955457. The reversal of 54623639955456 is 65455993632645.

54623639955456 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 3 + 63 + 9 + 9 + 554 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is not an unprimeable number, because it can be changed into a prime (54623639955457) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 213369931 + ... + 213625781.

It is an arithmetic number, because the mean of its divisors is an integer number (286287834105).

Almost surely, 254623639955456 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 54623639955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96192712259280).

54623639955456 is an abundant number, since it is smaller than the sum of its proper divisors (137761784563104).

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

54623639955456 is a wasteful number, since it uses less digits than its factorization.

54623639955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255915 (or 255880 counting only the distinct ones).

The product of its digits is 3149280000, while the sum is 72.

The spelling of 54623639955456 in words is "fifty-four trillion, six hundred twenty-three billion, six hundred thirty-nine million, nine hundred fifty-five thousand, four hundred fifty-six".