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4148012364 = 223345667697
BaseRepresentation
bin1111011100111101…
…1010010101001100
3101201002012212020120
43313033122111030
531443342343424
61523334144540
7204535344336
oct36717322514
911632185216
104148012364
1118394990a1
129791b2150
135114a59b2
142b4c82456
15194260a79
hexf73da54c

4148012364 has 12 divisors (see below), whose sum is σ = 9678695544. Its totient is φ = 1382670784.

The previous prime is 4148012357. The next prime is 4148012369. The reversal of 4148012364 is 4632108414.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (4148012369) 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 3 ways as a sum of consecutive naturals, for example, 172833837 + ... + 172833860.

It is an arithmetic number, because the mean of its divisors is an integer number (806557962).

Almost surely, 24148012364 is an apocalyptic number.

It is an amenable number.

4148012364 is an abundant number, since it is smaller than the sum of its proper divisors (5530683180).

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

4148012364 is a wasteful number, since it uses less digits than its factorization.

4148012364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345667704 (or 345667702 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4148012364 is about 64405.0647387300. The cubic root of 4148012364 is about 1606.7439775206.

The spelling of 4148012364 in words is "four billion, one hundred forty-eight million, twelve thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 345667697 691335394 1037003091 1382670788 2074006182 4148012364