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4156644401 = 71327434729
BaseRepresentation
bin1111011111000001…
…0101110000110001
3101201200110102011122
43313300111300301
532003100110101
61524243152025
7205001615540
oct36760256061
911650412148
104156644401
111843354508
12980075615
13513208a00
142b608c157
15194db851b
hexf7c15c31

4156644401 has 24 divisors (see below), whose sum is σ = 5151991680. Its totient is φ = 3283652736.

The previous prime is 4156644391. The next prime is 4156644419. The reversal of 4156644401 is 1044466514.

It is not a de Polignac number, because 4156644401 - 210 = 4156643377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4156644101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876605 + ... + 881333.

It is an arithmetic number, because the mean of its divisors is an integer number (214666320).

Almost surely, 24156644401 is an apocalyptic number.

It is an amenable number.

4156644401 is a deficient number, since it is larger than the sum of its proper divisors (995347279).

4156644401 is a wasteful number, since it uses less digits than its factorization.

4156644401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 4156644401 is about 64472.0435615314. The cubic root of 4156644401 is about 1607.8577530302.

The spelling of 4156644401 in words is "four billion, one hundred fifty-six million, six hundred forty-four thousand, four hundred one".

Divisors: 1 7 13 91 169 743 1183 4729 5201 9659 33103 61477 67613 125567 430339 799201 878969 3513647 5594407 24595529 45677411 319741877 593806343 4156644401