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4146880401 = 33706921727
BaseRepresentation
bin1111011100101100…
…0101111110010001
3101201000002100111000
43313023011332101
531443100133101
61523254012213
7204522621216
oct36713057621
911630070430
104146880401
111838895694
12978947069
1351119a6b1
142b4a69b0d
151940da486
hexf72c5f91

4146880401 has 16 divisors (see below), whose sum is σ = 6144678400. Its totient is φ = 2764068624.

The previous prime is 4146880399. The next prime is 4146880417. The reversal of 4146880401 is 1040886414.

It is not a de Polignac number, because 4146880401 - 21 = 4146880399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4146880421) 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, 180000 + ... + 201726.

It is an arithmetic number, because the mean of its divisors is an integer number (384042400).

Almost surely, 24146880401 is an apocalyptic number.

It is an amenable number.

4146880401 is a deficient number, since it is larger than the sum of its proper divisors (1997797999).

4146880401 is a wasteful number, since it uses less digits than its factorization.

4146880401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28805 (or 28799 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4146880401 is about 64396.2762976245. The cubic root of 4146880401 is about 1606.5978078983.

The spelling of 4146880401 in words is "four billion, one hundred forty-six million, eight hundred eighty thousand, four hundred one".

Divisors: 1 3 9 27 7069 21207 21727 63621 65181 190863 195543 586629 153588163 460764489 1382293467 4146880401