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54631441427580 = 223353119930753419
BaseRepresentation
bin11000110101111110111111…
…01010001110110001111100
321011102201022002022000212000
430122333133222032301330
524130040143001140310
6312105200540342300
714335664022126003
oct1432773752166174
9234381262260760
1054631441427580
11164530784a1146
126163b33244990
132463952066014
14d6c26684dc3a
1564b150ddb4c0
hex31afdfa8ec7c

54631441427580 has 384 divisors, whose sum is σ = 176906526720000. Its totient is φ = 13981635866880.

The previous prime is 54631441427579. The next prime is 54631441427597. The reversal of 54631441427580 is 8572414413645.

54631441427580 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 1 + 44 + 14 + 2 + 7 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1022670111 + ... + 1022723529.

It is an arithmetic number, because the mean of its divisors is an integer number (460694080000).

Almost surely, 254631441427580 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 54631441427580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88453263360000).

54631441427580 is an abundant number, since it is smaller than the sum of its proper divisors (122275085292420).

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

54631441427580 is a wasteful number, since it uses less digits than its factorization.

54631441427580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53974 (or 53966 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 54631441427580 in words is "fifty-four trillion, six hundred thirty-one billion, four hundred forty-one million, four hundred twenty-seven thousand, five hundred eighty".