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12055928640 = 263573194147
BaseRepresentation
bin10110011101001011…
…01101111101000000
31011010012100122000120
423032211231331000
5144142304204030
65312144220240
7604520463000
oct131645557500
934105318016
1012055928640
115127291698
12240560a680
1311a19175b2
1482521a000
154a861c010
hex2ce96df40

12055928640 has 896 divisors, whose sum is σ = 49158144000. Its totient is φ = 2492743680.

The previous prime is 12055928627. The next prime is 12055928663. The reversal of 12055928640 is 4682955021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12055928592 and 12055928601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256509097 + ... + 256509143.

It is an arithmetic number, because the mean of its divisors is an integer number (54864000).

Almost surely, 212055928640 is an apocalyptic number.

12055928640 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 12055928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579072000).

12055928640 is an abundant number, since it is smaller than the sum of its proper divisors (37102215360).

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

12055928640 is a wasteful number, since it uses less digits than its factorization.

12055928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 12055928640 in words is "twelve billion, fifty-five million, nine hundred twenty-eight thousand, six hundred forty".