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12290164992 = 28347227373
BaseRepresentation
bin10110111001000110…
…10000100100000000
31011201112010001220000
423130203100210000
5200132240234432
65351312520000
7613363451550
oct133443204400
934645101800
1012290164992
115237528956
12246bb50000
13120b2caba1
14848391160
154bde8a57c
hex2dc8d0900

12290164992 has 360 divisors, whose sum is σ = 42179624256. Its totient is φ = 3486633984.

The previous prime is 12290164987. The next prime is 12290164993. The reversal of 12290164992 is 29946109221.

It is not an unprimeable number, because it can be changed into a prime (12290164993) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32949318 + ... + 32949690.

Almost surely, 212290164992 is an apocalyptic number.

12290164992 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 12290164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21089812128).

12290164992 is an abundant number, since it is smaller than the sum of its proper divisors (29889459264).

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

12290164992 is an equidigital number, since it uses as much as digits as its factorization.

12290164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 12290164992 in words is "twelve billion, two hundred ninety million, one hundred sixty-four thousand, nine hundred ninety-two".