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4148664348 = 22310722314489
BaseRepresentation
bin1111011101000111…
…1001100000011100
3101201010102222121010
43313101321200130
531444024224343
61523400135220
7204544031223
oct36721714034
911633388533
104148664348
1118398a3a24
12979467510
1351167369a
142b4db1cba
1519433dd33
hexf747981c

4148664348 has 48 divisors (see below), whose sum is σ = 9815178240. Its totient is φ = 1363726464.

The previous prime is 4148664347. The next prime is 4148664349. The reversal of 4148664348 is 8434668414.

It is an interprime number because it is at equal distance from previous prime (4148664347) and next prime (4148664349).

It is a super-2 number, since 2×41486643482 = 34422831744732530208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4148664297 and 4148664306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148664347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279088 + ... + 293576.

It is an arithmetic number, because the mean of its divisors is an integer number (204482880).

Almost surely, 24148664348 is an apocalyptic number.

It is an amenable number.

4148664348 is an abundant number, since it is smaller than the sum of its proper divisors (5666513892).

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

4148664348 is a wasteful number, since it uses less digits than its factorization.

4148664348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14826 (or 14824 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 4148664348 is about 64410.1261293595. The cubic root of 4148664348 is about 1606.8281557078.

The spelling of 4148664348 in words is "four billion, one hundred forty-eight million, six hundred sixty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 107 214 223 321 428 446 642 669 892 1284 1338 2676 14489 23861 28978 43467 47722 57956 71583 86934 95444 143166 173868 286332 1550323 3100646 3231047 4650969 6201292 6462094 9301938 9693141 12924188 18603876 19386282 38772564 345722029 691444058 1037166087 1382888116 2074332174 4148664348