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55128214063440 = 24325725574277723
BaseRepresentation
bin11001000100011100010011…
…00111011100100101010000
321020012012120000122122210100
430202032021213130211100
524211210040300012230
6313125315114132400
714416611351635430
oct1442161147344520
9236165500578710
1055128214063440
1116624820716151
126224273421100
13249b750683c6b
14d883111a42c0
15659028518660
hex3223899dc950

55128214063440 has 240 divisors, whose sum is σ = 211670133637248. Its totient is φ = 12595803761664.

The previous prime is 55128214063399. The next prime is 55128214063493. The reversal of 55128214063440 is 4436041282155.

55128214063440 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 8 + 2 + 1 + 4 + 0 + 634 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10748419 + ... + 15026141.

Almost surely, 255128214063440 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 55128214063440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105835066818624).

55128214063440 is an abundant number, since it is smaller than the sum of its proper divisors (156541919573808).

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

55128214063440 is a wasteful number, since it uses less digits than its factorization.

55128214063440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280306 (or 4280297 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 55128214063440 in words is "fifty-five trillion, one hundred twenty-eight billion, two hundred fourteen million, sixty-three thousand, four hundred forty".