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45839236939024 = 241572107812
BaseRepresentation
bin10100110110000110001110…
…11011110011110100010000
320000022012002020101220100011
422123003013123303310100
522002012224124022044
6241254131005004304
712440530011064144
oct1233030733636420
9200265066356304
1045839236939024
1113673347253361
125183b4b853694
131c7681056c279
14b468b92c3224
155475b523a134
hex29b0c76f3d10

45839236939024 has 45 divisors (see below), whose sum is σ = 89391107459631. Its totient is φ = 22771521252480.

The previous prime is 45839236938983. The next prime is 45839236939033. The reversal of 45839236939024 is 42093963293854.

The square root of 45839236939024 is 6770468.

It is a perfect power (a square), and thus also a powerful number.

45839236939024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8061397347600 + 37777839591424 = 2839260^2 + 6146368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4251848514 + ... + 4251859294.

Almost surely, 245839236939024 is an apocalyptic number.

45839236939024 is the 6770468-th square number.

It is an amenable number.

45839236939024 is a deficient number, since it is larger than the sum of its proper divisors (43551870520607).

45839236939024 is an frugal number, since it uses more digits than its factorization.

45839236939024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21884 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 67.

The spelling of 45839236939024 in words is "forty-five trillion, eight hundred thirty-nine billion, two hundred thirty-six million, nine hundred thirty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 157 314 628 1256 2512 10781 21562 24649 43124 49298 86248 98596 172496 197192 394384 1692617 3385234 6770468 13540936 27081872 116229961 232459922 265740869 464919844 531481738 929839688 1062963476 1859679376 2125926952 4251853904 18248103877 36496207754 72992415508 145984831016 291969662032 2864952308689 5729904617378 11459809234756 22919618469512 45839236939024