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245583393328 = 247131621104053
BaseRepresentation
bin1110010010110111101…
…0010011001000110000
3212110220010110222202101
43210231322103020300
513010423322041303
6304453000230144
723512533254320
oct3445572231060
9773803428671
10245583393328
1195173472299
123b71946b354
131a20a063170
14bc5a013280
1565c51eed1d
hex392de93230

245583393328 has 80 divisors (see below), whose sum is σ = 585988841536. Its totient is φ = 97093002240.

The previous prime is 245583393323. The next prime is 245583393347. The reversal of 245583393328 is 823393385542.

It is a happy number.

It is a super-2 number, since 2×2455833933282 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245583393323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2308150 + ... + 2412202.

Almost surely, 2245583393328 is an apocalyptic number.

245583393328 is a gapful number since it is divisible by the number (28) 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 245583393328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292994420768).

245583393328 is an abundant number, since it is smaller than the sum of its proper divisors (340405448208).

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

245583393328 is a wasteful number, since it uses less digits than its factorization.

245583393328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105702 (or 105696 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 55.

The spelling of 245583393328 in words is "two hundred forty-five billion, five hundred eighty-three million, three hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1621 3242 6484 11347 12968 21073 22694 25936 42146 45388 84292 90776 104053 147511 168584 181552 208106 295022 337168 416212 590044 728371 832424 1180088 1352689 1456742 1664848 2360176 2705378 2913484 5410756 5826968 9468823 10821512 11653936 18937646 21643024 37875292 75750584 151501168 168669913 337339826 674679652 1180689391 1349359304 2192708869 2361378782 2698718608 4385417738 4722757564 8770835476 9445515128 15348962083 17541670952 18891030256 30697924166 35083341904 61395848332 122791696664 245583393328