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55023805440 = 210345196983
BaseRepresentation
bin110011001111101011…
…001010010000000000
312021000200222221010000
4303033223022100000
51400142043233230
641135543040000
73655353425562
oct631753122000
9167020887100
1055023805440
112137655a47a
12a7b7440000
13525b814b76
14293da2b332
15167094eb60
hexccfaca400

55023805440 has 440 divisors, whose sum is σ = 207581520960. Its totient is φ = 13898760192.

The previous prime is 55023805439. The next prime is 55023805483. The reversal of 55023805440 is 4450832055.

55023805440 is a `hidden beast` number, since 550 + 23 + 80 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55023805395 and 55023805404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7876189 + ... + 7883171.

It is an arithmetic number, because the mean of its divisors is an integer number (471776184).

Almost surely, 255023805440 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 55023805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103790760480).

55023805440 is an abundant number, since it is smaller than the sum of its proper divisors (152557715520).

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

55023805440 is a wasteful number, since it uses less digits than its factorization.

55023805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 55023805440 in words is "fifty-five billion, twenty-three million, eight hundred five thousand, four hundred forty".