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12985558992 = 24327243127337
BaseRepresentation
bin11000001011111111…
…11110011111010000
31020111222121202010100
430011333332133100
5203043300341432
65544313332400
7636536300400
oct140577763720
936458552110
1012985558992
11556401173a
122624a07100
1312bc3b6923
148b288a800
1551004d07c
hex305ffe7d0

12985558992 has 360 divisors, whose sum is σ = 43727963136. Its totient is φ = 3584673792.

The previous prime is 12985558981. The next prime is 12985559009. The reversal of 12985558992 is 29985558921.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38532648 + ... + 38532984.

Almost surely, 212985558992 is an apocalyptic number.

12985558992 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 12985558992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21863981568).

12985558992 is an abundant number, since it is smaller than the sum of its proper divisors (30742404144).

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

12985558992 is a wasteful number, since it uses less digits than its factorization.

12985558992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 519 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 63.

The spelling of 12985558992 in words is "twelve billion, nine hundred eighty-five million, five hundred fifty-eight thousand, nine hundred ninety-two".