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12138384384 = 210337193301
BaseRepresentation
bin10110100111000000…
…10000110000000000
31011022221111211001000
423103200100300000
5144324411300014
65324251412000
7606541364520
oct132340206000
934287454030
1012138384384
11516988a935
122429154000
1311b5a27689
14832161680
154b09a8509
hex2d3810c00

12138384384 has 352 divisors, whose sum is σ = 43258841600. Its totient is φ = 3284582400.

The previous prime is 12138384371. The next prime is 12138384409. The reversal of 12138384384 is 48348383121.

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, 3675534 + ... + 3678834.

Almost surely, 212138384384 is an apocalyptic number.

12138384384 is a gapful number since it is divisible by the number (14) 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 12138384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21629420800).

12138384384 is an abundant number, since it is smaller than the sum of its proper divisors (31120457216).

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

12138384384 is a wasteful number, since it uses less digits than its factorization.

12138384384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3332 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 12138384384 in words is "twelve billion, one hundred thirty-eight million, three hundred eighty-four thousand, three hundred eighty-four".