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4148666001 = 325310186113
BaseRepresentation
bin1111011101000111…
…1001111010010001
3101201010110001212100
43313101321322101
531444024303001
61523400151013
7204544036104
oct36721717221
911633401770
104148666001
1118398a5197
12979468469
1351167436c
142b4db273b
1519433e586
hexf7479e91

4148666001 has 24 divisors (see below), whose sum is σ = 6166106856. Its totient is φ = 2686694400.

The previous prime is 4148665991. The next prime is 4148666023. The reversal of 4148666001 is 1006668414.

It can be written as a sum of positive squares in 4 ways, for example, as 658692225 + 3489973776 = 25665^2 + 59076^2 .

It is not a de Polignac number, because 4148666001 - 225 = 4115111569 is a prime.

It is a super-2 number, since 2×41486660012 = 34422859175706664002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4148616001) 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 23 ways as a sum of consecutive naturals, for example, 5121 + ... + 91233.

It is an arithmetic number, because the mean of its divisors is an integer number (256921119).

Almost surely, 24148666001 is an apocalyptic number.

It is an amenable number.

4148666001 is a deficient number, since it is larger than the sum of its proper divisors (2017440855).

4148666001 is a wasteful number, since it uses less digits than its factorization.

4148666001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86273 (or 86270 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4148666001 is about 64410.1389611915. The cubic root of 4148666001 is about 1606.8283691168.

The spelling of 4148666001 in words is "four billion, one hundred forty-eight million, six hundred sixty-six thousand, one".

Divisors: 1 3 9 53 101 159 303 477 909 5353 16059 48177 86113 258339 775017 4563989 8697413 13691967 26092239 41075901 78276717 460962889 1382888667 4148666001