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12384021145505 = 527716493542141
BaseRepresentation
bin1011010000110110000100…
…1011100110011110100001
31121211220022201121120011112
42310031201023212132201
53110344433403124010
642201050223553105
72415500405622632
oct264154113463641
947756281546145
1012384021145505
113a450410a4329
12148013375b795
136baa67769629
1430b565955889
1516720baeda05
hexb43612e67a1

12384021145505 has 16 divisors (see below), whose sum is σ = 14915406366864. Its totient is φ = 9870834059520.

The previous prime is 12384021145481. The next prime is 12384021145577. The reversal of 12384021145505 is 50554112048321.

It can be written as a sum of positive squares in 8 ways, for example, as 7429336913761 + 4954684231744 = 2725681^2 + 2225912^2 .

It is a de Polignac number, because none of the positive numbers 2k-12384021145505 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22571735 + ... + 23113875.

It is an arithmetic number, because the mean of its divisors is an integer number (932212897929).

Almost surely, 212384021145505 is an apocalyptic number.

It is an amenable number.

12384021145505 is a deficient number, since it is larger than the sum of its proper divisors (2531385221359).

12384021145505 is a wasteful number, since it uses less digits than its factorization.

12384021145505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558916.

The product of its (nonzero) digits is 192000, while the sum is 41.

The spelling of 12384021145505 in words is "twelve trillion, three hundred eighty-four billion, twenty-one million, one hundred forty-five thousand, five hundred five".

Divisors: 1 5 277 1385 16493 82465 542141 2710705 4568561 22842805 150173057 750865285 8941531513 44707657565 2476804229101 12384021145505