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55674191520 = 25325431376563
BaseRepresentation
bin110011110110011100…
…001011111010100000
312022201000210222002100
4303312130023322200
51403010043112040
641324255050400
74010441551113
oct636634137240
9168630728070
1055674191520
112167a6a2132
12a959210a00
1353334a27bc
1429a216c57a
1516acac1b30
hexcf670bea0

55674191520 has 288 divisors, whose sum is σ = 195855371712. Its totient is φ = 14393143296.

The previous prime is 55674191513. The next prime is 55674191627. The reversal of 55674191520 is 2519147655.

It is a happy number.

55674191520 is a `hidden beast` number, since 5 + 56 + 74 + 1 + 9 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8479759 + ... + 8486321.

It is an arithmetic number, because the mean of its divisors is an integer number (680053374).

Almost surely, 255674191520 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 55674191520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97927685856).

55674191520 is an abundant number, since it is smaller than the sum of its proper divisors (140181180192).

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

55674191520 is a wasteful number, since it uses less digits than its factorization.

55674191520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 55674191520 in words is "fifty-five billion, six hundred seventy-four million, one hundred ninety-one thousand, five hundred twenty".