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4020946461 = 337113188273
BaseRepresentation
bin1110111110101010…
…1100011000011101
3101101020010020121000
43233222230120131
531213330241321
61502554500513
7201433323660
oct35752543035
911336106530
104020946461
1117837a0654
12942734739
134c107687c
142a20476d7
15188011826
hexefaac61d

4020946461 has 32 divisors (see below), whose sum is σ = 6868235520. Its totient is φ = 2277338112.

The previous prime is 4020946409. The next prime is 4020946463. The reversal of 4020946461 is 1646490204.

4020946461 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 9 + 4 + 646 + 1 = 666.

It is not a de Polignac number, because 4020946461 - 214 = 4020930077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020946463) 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 31 ways as a sum of consecutive naturals, for example, 72780 + ... + 115493.

It is an arithmetic number, because the mean of its divisors is an integer number (214632360).

Almost surely, 24020946461 is an apocalyptic number.

It is an amenable number.

4020946461 is a deficient number, since it is larger than the sum of its proper divisors (2847289059).

4020946461 is a wasteful number, since it uses less digits than its factorization.

4020946461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188402 (or 188396 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4020946461 is about 63410.9332922959. The cubic root of 4020946461 is about 1590.1670988499.

The spelling of 4020946461 in words is "four billion, twenty million, nine hundred forty-six thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 113 189 339 791 1017 2373 3051 7119 21357 188273 564819 1317911 1694457 3953733 5083371 11861199 21274849 35583597 63824547 148923943 191473641 446771829 574420923 1340315487 4020946461