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3706477056 = 2935313
BaseRepresentation
bin1101110011101100…
…0101101000000000
3100120022101112200000
43130323011220000
530042324231211
61411442400000
7160564351362
oct33473055000
910508345600
103706477056
111632234087
12875360000
13470b80ab9
14272388d32
1516a5e5656
hexdcec5a00

3706477056 has 240 divisors, whose sum is σ = 11463099648. Its totient is φ = 1195637760.

The previous prime is 3706477043. The next prime is 3706477057. The reversal of 3706477056 is 6507746073.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3706477057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119563761 + ... + 119563791.

Almost surely, 23706477056 is an apocalyptic number.

3706477056 is a gapful number since it is divisible by the number (36) 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 3706477056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731549824).

3706477056 is an abundant number, since it is smaller than the sum of its proper divisors (7756622592).

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

3706477056 is an frugal number, since it uses more digits than its factorization.

3706477056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 3706477056 is about 60880.8430953449. The cubic root of 3706477056 is about 1547.5823643506.

The spelling of 3706477056 in words is "three billion, seven hundred six million, four hundred seventy-seven thousand, fifty-six".