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12412736820271 = 192345196285557
BaseRepresentation
bin1011010010100001000011…
…0001001101010000101111
31121221122102222012222112101
42310220100301031100233
53111332241111222041
642222155500315531
72420535122054224
oct264502061152057
947848388188471
1012412736820271
113a56237376847
121485808542ba7
136c0692a24268
1430cacb59d94b
15167d3cad1b31
hexb4a10c4d42f

12412736820271 has 16 divisors (see below), whose sum is σ = 13637146636800. Its totient is φ = 11245664235168.

The previous prime is 12412736820269. The next prime is 12412736820283. The reversal of 12412736820271 is 17202863721421.

It is a cyclic number.

It is not a de Polignac number, because 12412736820271 - 21 = 12412736820269 is a prime.

It is a super-2 number, since 2×124127368202712 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412736820571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167976 + ... + 5117581.

It is an arithmetic number, because the mean of its divisors is an integer number (852321664800).

Almost surely, 212412736820271 is an apocalyptic number.

12412736820271 is a deficient number, since it is larger than the sum of its proper divisors (1224409816529).

12412736820271 is a wasteful number, since it uses less digits than its factorization.

12412736820271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290118.

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 12412736820271 in words is "twelve trillion, four hundred twelve billion, seven hundred thirty-six million, eight hundred twenty thousand, two hundred seventy-one".

Divisors: 1 19 23 437 4519 85861 103937 1974803 6285557 119425583 144567811 2746788409 28404432083 539684209577 653301937909 12412736820271