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55606876416 = 2832713337787
BaseRepresentation
bin110011110010011011…
…011001100100000000
312022112100011000010100
4303302123121210000
51402340330021131
641313452202400
74005663436140
oct636233314400
9168470130110
1055606876416
11216456a5313
12a93a769400
135322564090
142997248920
1516a6c267e6
hexcf26d9900

55606876416 has 432 divisors, whose sum is σ = 198164197504. Its totient is φ = 14603452416.

The previous prime is 55606876411. The next prime is 55606876447. The reversal of 55606876416 is 61467860655.

55606876416 is a `hidden beast` number, since 5 + 560 + 6 + 8 + 7 + 64 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (55606876411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70656375 + ... + 70657161.

Almost surely, 255606876416 is an apocalyptic number.

55606876416 is a gapful number since it is divisible by the number (56) 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 55606876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99082098752).

55606876416 is an abundant number, since it is smaller than the sum of its proper divisors (142557321088).

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

55606876416 is a wasteful number, since it uses less digits than its factorization.

55606876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 55606876416 in words is "fifty-five billion, six hundred six million, eight hundred seventy-six thousand, four hundred sixteen".