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384148728980 = 22523778080537
BaseRepresentation
bin1011001011100010000…
…11000110110010010100
31100201112222121100222222
411211301003012302110
522243214033311410
6452250412241512
736516364214612
oct5456103066224
91321488540888
10384148728980
11138a09a40915
126254a770298
132a2c062a633
1414842ca86b2
159ed4ed0955
hex59710c6c94

384148728980 has 24 divisors (see below), whose sum is σ = 807051813288. Its totient is φ = 153594828288.

The previous prime is 384148728947. The next prime is 384148728989. The reversal of 384148728980 is 89827841483.

It can be written as a sum of positive squares in 4 ways, for example, as 41226053764 + 342922675216 = 203042^2 + 585596^2 .

It is a super-3 number, since 3×3841487289803 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384148728989) 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 7 ways as a sum of consecutive naturals, for example, 3992729 + ... + 4087808.

It is an arithmetic number, because the mean of its divisors is an integer number (33627158887).

Almost surely, 2384148728980 is an apocalyptic number.

It is an amenable number.

384148728980 is an abundant number, since it is smaller than the sum of its proper divisors (422903084308).

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

384148728980 is a wasteful number, since it uses less digits than its factorization.

384148728980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082923 (or 8082921 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 62.

The spelling of 384148728980 in words is "three hundred eighty-four billion, one hundred forty-eight million, seven hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 2377 4754 9508 11885 23770 47540 8080537 16161074 32322148 40402685 80805370 161610740 19207436449 38414872898 76829745796 96037182245 192074364490 384148728980