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12992389632 = 293741283
BaseRepresentation
bin11000001100110100…
…00010001000000000
31020112110110210000000
430012122002020000
5203102022432012
65545120000000
7636651326655
oct140632021000
936473423000
1012992389632
1155679576a2
122627160000
1312c0938a21
148b3747c2c
1551094bddc
hex306682200

12992389632 has 320 divisors, whose sum is σ = 40023688320. Its totient is φ = 4210237440.

The previous prime is 12992389609. The next prime is 12992389717. The reversal of 12992389632 is 23698329921.

12992389632 is a `hidden beast` number, since 1 + 299 + 238 + 96 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45909363 + ... + 45909645.

It is an arithmetic number, because the mean of its divisors is an integer number (125074026).

Almost surely, 212992389632 is an apocalyptic number.

12992389632 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 12992389632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20011844160).

12992389632 is an abundant number, since it is smaller than the sum of its proper divisors (27031298688).

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

12992389632 is an frugal number, since it uses more digits than its factorization.

12992389632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 329 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 12992389632 in words is "twelve billion, nine hundred ninety-two million, three hundred eighty-nine thousand, six hundred thirty-two".