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43148948769 = 3217226776197
BaseRepresentation
bin101000001011111000…
…001011010100100001
311010101010100201010200
4220023320023110201
51201332112330034
631453343415413
73055162004313
oct501370132441
9133333321120
1043148948769
1117332502943
1284425b4569
1340b8588364
1421348a77b3
1511c819da99
hexa0be0b521

43148948769 has 36 divisors (see below), whose sum is σ = 66243591804. Its totient is φ = 27059369472.

The previous prime is 43148948749. The next prime is 43148948771. The reversal of 43148948769 is 96784984134.

43148948769 is a `hidden beast` number, since 4 + 3 + 14 + 89 + 487 + 69 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 294980625 + 42853968144 = 17175^2 + 207012^2 .

It is not a de Polignac number, because 43148948769 - 25 = 43148948737 is a prime.

It is a super-2 number, since 2×431489487692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43148948749) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6959779 + ... + 6965975.

Almost surely, 243148948769 is an apocalyptic number.

It is an amenable number.

43148948769 is a deficient number, since it is larger than the sum of its proper divisors (23094643035).

43148948769 is a wasteful number, since it uses less digits than its factorization.

43148948769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8914 (or 8894 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 43148948769 in words is "forty-three billion, one hundred forty-eight million, nine hundred forty-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 9 17 51 153 289 867 2601 2677 6197 8031 18591 24093 45509 55773 105349 136527 316047 409581 773653 948141 1790933 2320959 5372799 6962877 16118397 16589369 49768107 149304321 282019273 846057819 2538173457 4794327641 14382982923 43148948769