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12918471404652 = 2235114753485041
BaseRepresentation
bin1011101111111101000011…
…1001100010110001101100
31200201222211111001202200000
42323333100321202301230
53143124012134422102
643250355215504300
72502220523103522
oct273772071426154
950658744052600
1012918471404652
114130769362380
121547829b28090
1372928bc5b818
14329386262312
1517608bdc101c
hexbbfd0e62c6c

12918471404652 has 288 divisors, whose sum is σ = 38441029745664. Its totient is φ = 3759098803200.

The previous prime is 12918471404623. The next prime is 12918471404677. The reversal of 12918471404652 is 25640417481921.

12918471404652 is a `hidden beast` number, since 1 + 2 + 9 + 184 + 7 + 1 + 404 + 6 + 52 = 666.

It is a super-2 number, since 2×129184714046522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26391252 + ... + 26876292.

It is an arithmetic number, because the mean of its divisors is an integer number (133475797728).

Almost surely, 212918471404652 is an apocalyptic number.

12918471404652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12918471404652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220514872832).

12918471404652 is an abundant number, since it is smaller than the sum of its proper divisors (25522558341012).

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

12918471404652 is a wasteful number, since it uses less digits than its factorization.

12918471404652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485171 (or 485157 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12918471404652 in words is "twelve trillion, nine hundred eighteen billion, four hundred seventy-one million, four hundred four thousand, six hundred fifty-two".