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55257306831360 = 293352029394007
BaseRepresentation
bin11001001000001100110000…
…01001010001101000000000
321020122112202201110201222000
430210012120021101220000
524220313431022100420
6313304504544144000
714432131401233334
oct1444063011215000
9236575681421860
1055257306831360
11166745461733a7
1262452a0308000
1324aa9845cc37a
14d90679d8d7c4
1565c5818c2690
hex324198251a00

55257306831360 has 320 divisors, whose sum is σ = 196375793644800. Its totient is φ = 14727982104576.

The previous prime is 55257306831359. The next prime is 55257306831367. The reversal of 55257306831360 is 6313860375255.

55257306831360 is a `hidden beast` number, since 5 + 5 + 2 + 573 + 0 + 6 + 8 + 3 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 55257306831297 and 55257306831306.

It is not an unprimeable number, because it can be changed into a prime (55257306831367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140047477 + ... + 140441483.

It is an arithmetic number, because the mean of its divisors is an integer number (613674355140).

Almost surely, 255257306831360 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 55257306831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98187896822400).

55257306831360 is an abundant number, since it is smaller than the sum of its proper divisors (141118486813440).

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

55257306831360 is a wasteful number, since it uses less digits than its factorization.

55257306831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396068 (or 396046 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 55257306831360 in words is "fifty-five trillion, two hundred fifty-seven billion, three hundred six million, eight hundred thirty-one thousand, three hundred sixty".