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12056662080 = 263454611009
BaseRepresentation
bin10110011101010001…
…00001000001000000
31011010020201220010000
423032220201001000
5144143001141310
65312212040000
7604526636211
oct131650410100
934106656100
1012056662080
115127742741
122405903000
1311a1b13398
1482536b408
154a87144c0
hex2cea21040

12056662080 has 280 divisors, whose sum is σ = 43023297240. Its totient is φ = 3204956160.

The previous prime is 12056662067. The next prime is 12056662099. The reversal of 12056662080 is 8026665021.

It can be written as a sum of positive squares in 4 ways, for example, as 205291584 + 11851370496 = 14328^2 + 108864^2 .

It is a super-2 number, since 2×120566620802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11948616 + ... + 11949624.

It is an arithmetic number, because the mean of its divisors is an integer number (153654633).

Almost surely, 212056662080 is an apocalyptic number.

12056662080 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 12056662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511648620).

12056662080 is an abundant number, since it is smaller than the sum of its proper divisors (30966635160).

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

12056662080 is a wasteful number, since it uses less digits than its factorization.

12056662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12056662080 in words is "twelve billion, fifty-six million, six hundred sixty-two thousand, eighty".