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48330661140 = 22325268503673
BaseRepresentation
bin101101000000101110…
…110101110100010100
311121202020122222012200
4231000232311310110
51242440122124030
634111445444500
73330451561416
oct550056656424
9147666588180
1048330661140
1119551442063
129449a10730
134732c6a358
1424a6b4a9b6
1513cd04ad60
hexb40bb5d14

48330661140 has 36 divisors (see below), whose sum is σ = 146603006004. Its totient is φ = 12888176256.

The previous prime is 48330661111. The next prime is 48330661157. The reversal of 48330661140 is 4116603384.

It is a happy number.

48330661140 is a `hidden beast` number, since 4 + 8 + 3 + 30 + 6 + 611 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7982707716 + 40347953424 = 89346^2 + 200868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48330661095 and 48330661104.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 134251657 + ... + 134252016.

Almost surely, 248330661140 is an apocalyptic number.

It is an amenable number.

48330661140 is an abundant number, since it is smaller than the sum of its proper divisors (98272344864).

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

48330661140 is a wasteful number, since it uses less digits than its factorization.

48330661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268503688 (or 268503683 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 483306 and 61140, that added together give a triangular number (544446 = T1043).

The spelling of 48330661140 in words is "forty-eight billion, three hundred thirty million, six hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 268503673 537007346 805511019 1074014692 1342518365 1611022038 2416533057 2685036730 3222044076 4027555095 4833066114 5370073460 8055110190 9666132228 12082665285 16110220380 24165330570 48330661140