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4220377641 = 33198226857
BaseRepresentation
bin1111101110001101…
…1101101000101001
3101220010101101202000
43323203131220221
532120404041031
61534441201213
7206404421664
oct37343355051
911803341660
104220377641
111876325207
12999490209
13523491c9c
142c071c6db
1519a7a73e6
hexfb8dda29

4220377641 has 16 divisors (see below), whose sum is σ = 6581486400. Its totient is φ = 2665501344.

The previous prime is 4220377633. The next prime is 4220377673. The reversal of 4220377641 is 1467730224.

4220377641 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 3 + 7 + 7 + 641 = 666.

It is not a de Polignac number, because 4220377641 - 23 = 4220377633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4220377596 and 4220377605.

It is not an unprimeable number, because it can be changed into a prime (4220377621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4112916 + ... + 4113941.

It is an arithmetic number, because the mean of its divisors is an integer number (411342900).

Almost surely, 24220377641 is an apocalyptic number.

It is an amenable number.

4220377641 is a deficient number, since it is larger than the sum of its proper divisors (2361108759).

4220377641 is a wasteful number, since it uses less digits than its factorization.

4220377641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226885 (or 8226879 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4220377641 is about 64964.4336618122. The cubic root of 4220377641 is about 1616.0337920639.

The spelling of 4220377641 in words is "four billion, two hundred twenty million, three hundred seventy-seven thousand, six hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 8226857 24680571 74041713 156310283 222125139 468930849 1406792547 4220377641