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13063057920 = 29355112383
BaseRepresentation
bin11000010101001111…
…00111001000000000
31020201101110002200000
430022213213020000
5203223120323140
610000122400000
7641500105653
oct141247471000
936641402600
1013063057920
1155a3834840
122646960000
13130247c793
148bcca189a
15516c5aa30
hex30a9e7200

13063057920 has 960 divisors, whose sum is σ = 54050540544. Its totient is φ = 2992619520.

The previous prime is 13063057913. The next prime is 13063057921. The reversal of 13063057920 is 2975036031.

13063057920 is a `hidden beast` number, since 1 + 3 + 0 + 63 + 0 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (13063057921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157386199 + ... + 157386281.

Almost surely, 213063057920 is an apocalyptic number.

13063057920 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 13063057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27025270272).

13063057920 is an abundant number, since it is smaller than the sum of its proper divisors (40987482624).

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

13063057920 is an equidigital number, since it uses as much as digits as its factorization.

13063057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 13063057920 in words is "thirteen billion, sixty-three million, fifty-seven thousand, nine hundred twenty".