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6303661056 = 21035721147
BaseRepresentation
bin1011101111011101…
…00011110000000000
3121021022110011100000
411313232203300000
5100402214123211
62521301200000
7312132143400
oct56756436000
917238404300
106303661056
112745285940
12127b100000
13795c79074
1443b296800
1526d61b656
hex177ba3c00

6303661056 has 792 divisors, whose sum is σ = 24463385856. Its totient is φ = 1602478080.

The previous prime is 6303660973. The next prime is 6303661057. The reversal of 6303661056 is 6501663036.

It is a happy number.

6303661056 is a `hidden beast` number, since 6 + 3 + 0 + 36 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×63036610562 = 79472285417862070272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6303661056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6303661057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134120425 + ... + 134120471.

Almost surely, 26303661056 is an apocalyptic number.

6303661056 is a gapful number since it is divisible by the number (66) 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 6303661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231692928).

6303661056 is an abundant number, since it is smaller than the sum of its proper divisors (18159724800).

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

6303661056 is a wasteful number, since it uses less digits than its factorization.

6303661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 6303661056 is about 79395.5984674214. The cubic root of 6303661056 is about 1847.2724408697.

The spelling of 6303661056 in words is "six billion, three hundred three million, six hundred sixty-one thousand, fifty-six".