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55595975400 = 233352729411237
BaseRepresentation
bin110011110001110001…
…110100001011101000
312022111120122011202000
4303301301310023220
51402330032203100
641312422411000
74005501664560
oct636161641350
9168446564660
1055595975400
112163a52a209
12a936b90a60
135320218384
142995a0bda0
1516a5cc1900
hexcf1c742e8

55595975400 has 768 divisors, whose sum is σ = 232110144000. Its totient is φ = 11960524800.

The previous prime is 55595975389. The next prime is 55595975419. The reversal of 55595975400 is 457959555.

55595975400 is a `hidden beast` number, since 5 + 5 + 5 + 9 + 5 + 97 + 540 + 0 = 666.

55595975400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44943582 + ... + 44944818.

It is an arithmetic number, because the mean of its divisors is an integer number (302226750).

Almost surely, 255595975400 is an apocalyptic number.

55595975400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55595975400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116055072000).

55595975400 is an abundant number, since it is smaller than the sum of its proper divisors (176514168600).

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

55595975400 is a wasteful number, since it uses less digits than its factorization.

55595975400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 7087500, while the sum is 54.

The spelling of 55595975400 in words is "fifty-five billion, five hundred ninety-five million, nine hundred seventy-five thousand, four hundred".