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4148666037 = 321125740949
BaseRepresentation
bin1111011101000111…
…1001111010110101
3101201010110001220200
43313101321322311
531444024303122
61523400151113
7204544036155
oct36721717265
911633401820
104148666037
1118398a521a
12979468499
13511674399
142b4db2765
1519433e5ac
hexf7479eb5

4148666037 has 12 divisors (see below), whose sum is σ = 5993196300. Its totient is φ = 2765464128.

The previous prime is 4148666023. The next prime is 4148666083. The reversal of 4148666037 is 7306668414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2761922916 + 1386743121 = 52554^2 + 37239^2 .

It is not a de Polignac number, because 4148666037 - 211 = 4148663989 is a prime.

It is a super-2 number, since 2×41486660372 = 34422859773114570738, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4148665983 and 4148666001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148661037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80839 + ... + 121787.

It is an arithmetic number, because the mean of its divisors is an integer number (499433025).

Almost surely, 24148666037 is an apocalyptic number.

It is an amenable number.

4148666037 is a deficient number, since it is larger than the sum of its proper divisors (1844530263).

4148666037 is a wasteful number, since it uses less digits than its factorization.

4148666037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52212 (or 52209 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4148666037 is about 64410.1392406506. The cubic root of 4148666037 is about 1606.8283737646.

It can be divided in two parts, 414866 and 6037, that added together give a triangular number (420903 = T917).

The spelling of 4148666037 in words is "four billion, one hundred forty-eight million, six hundred sixty-six thousand, thirty-seven".

Divisors: 1 3 9 11257 33771 40949 101313 122847 368541 460962893 1382888679 4148666037