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12474748403712 = 215367611223
BaseRepresentation
bin1011010110001000000011…
…1100101000000000000000
31122011120111122221211000000
42311202000330220000000
53113341241042404322
642310453104000000
72425161615606540
oct265420074500000
948146448854000
1012474748403712
113a7a569292261
121495834000000
136c6496152cba
14311ad1285320
1516976bc343ac
hexb5880f28000

12474748403712 has 896 divisors, whose sum is σ = 43486710779520. Its totient is φ = 3502917550080.

The previous prime is 12474748403587. The next prime is 12474748403743. The reversal of 12474748403712 is 21730484747421.

12474748403712 is a `hidden beast` number, since 1 + 24 + 7 + 474 + 84 + 0 + 3 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10200120733 + ... + 10200121955.

Almost surely, 212474748403712 is an apocalyptic number.

12474748403712 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 12474748403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743355389760).

12474748403712 is an abundant number, since it is smaller than the sum of its proper divisors (31011962375808).

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

12474748403712 is an frugal number, since it uses more digits than its factorization.

12474748403712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 12474748403712 in words is "twelve trillion, four hundred seventy-four billion, seven hundred forty-eight million, four hundred three thousand, seven hundred twelve".