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10555642080 = 2532523893581
BaseRepresentation
bin10011101010010101…
…00101000011100000
31000020122022011202200
421311022211003200
5133104221021310
64503232013200
7522402322464
oct116512450340
930218264680
1010555642080
114527426145
122067091200
13cc2b54a79
14721c804a4
1541ba679c0
hex2752a50e0

10555642080 has 288 divisors, whose sum is σ = 38020207680. Its totient is φ = 2661457920.

The previous prime is 10555642079. The next prime is 10555642081. The reversal of 10555642080 is 8024655501.

10555642080 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 5 + 642 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10555642079) and next prime (10555642081).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105556420802 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10555642081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2945890 + ... + 2949470.

It is an arithmetic number, because the mean of its divisors is an integer number (132014610).

Almost surely, 210555642080 is an apocalyptic number.

10555642080 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 10555642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010103840).

10555642080 is an abundant number, since it is smaller than the sum of its proper divisors (27464565600).

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

10555642080 is a wasteful number, since it uses less digits than its factorization.

10555642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10555642080 in words is "ten billion, five hundred fifty-five million, six hundred forty-two thousand, eighty".