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10663499280384 = 2123517738997
BaseRepresentation
bin1001101100101100101000…
…0101100011000000000000
31101202102100121011222100000
42123023022011203000000
52344202321303433014
634402424405200000
72150261311231536
oct233131205430000
941672317158300
1010663499280384
11344140138a835
1212427a8400000
135c47434b9b02
1428c18a8b8156
151375ae82c509
hex9b2ca163000

10663499280384 has 1248 divisors, whose sum is σ = 35027659517760. Its totient is φ = 3228875882496.

The previous prime is 10663499280383. The next prime is 10663499280433. The reversal of 10663499280384 is 48308299436601.

10663499280384 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 349 + 9 + 280 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×106634992803842 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10663499280383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109932982224 + ... + 109932982320.

It is an arithmetic number, because the mean of its divisors is an integer number (28067034870).

Almost surely, 210663499280384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10663499280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513829758880).

10663499280384 is an abundant number, since it is smaller than the sum of its proper divisors (24364160237376).

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

10663499280384 is an frugal number, since it uses more digits than its factorization.

10663499280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 10663499280384 in words is "ten trillion, six hundred sixty-three billion, four hundred ninety-nine million, two hundred eighty thousand, three hundred eighty-four".