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12383354880 = 216325131719
BaseRepresentation
bin10111000100001101…
…10000000000000000
31011222000110121101100
423202012300000000
5200330114324010
65404442134400
7615604531311
oct134206600000
934860417340
1012383354880
115285098896
1224971b1400
1312246c8a30
148568cc608
154c72472c0
hex2e21b0000

12383354880 has 816 divisors, whose sum is σ = 51526631520. Its totient is φ = 2717908992.

The previous prime is 12383354869. The next prime is 12383354903. The reversal of 12383354880 is 8845338321.

12383354880 is a `hidden beast` number, since 1 + 23 + 8 + 3 + 3 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651755511 + ... + 651755529.

Almost surely, 212383354880 is an apocalyptic number.

12383354880 is a gapful number since it is divisible by the number (10) 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 12383354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25763315760).

12383354880 is an abundant number, since it is smaller than the sum of its proper divisors (39143276640).

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

12383354880 is a wasteful number, since it uses less digits than its factorization.

12383354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12383354880 in words is "twelve billion, three hundred eighty-three million, three hundred fifty-four thousand, eight hundred eighty".